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The functions f and g are defined by the following tables. g(x) Question list K x f ( x ) X Use the tables to
The functions f and g are defined by the following tables. g(x) Question list K x f ( x ) X Use the tables to evaluate the given composite function. 2 -5 -6 f(g(7)) 4 0 2 O Question 9 5 5 2 -5 2 O Question 10 f(9(7)) = O Question 11 O Question 12 O Question 13 O Question 14 O Question 15 O Question 16 O Question 17 Question 18 O Question 19 O Question 20 O Question 21 O Question 22 O Question 23 O Question 24I6 The function f(x) = (x + 2)5 is one-to-one. Question list Find an equation torf' 1(x). the inverse function. 0 Question 1 f\"(x)=D (Type an expression for the inverse. Use integers or fractions for any number in the expression.) 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 Question list K The function f(x) =1x is one-to-one. a. Find an equation for f (x), the inverse function. b. Verify that the equation is correct by showing that f (f (x)) = x and f-1(f(x)) =x. O Question 1 a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O Question 2 O A. f-1 ( x ) = , for x so O Question 3 O B. f- 1 ( x ) = , for all x O c. f- 1 ( x) = , for x20 O Question 4 O Question 5 O Question 6 O Question 7 O Question 8 O Question 9 O Question 10 O Question 11 O Question 12 O Question 13 O Question 14 Question 15The graph of a function is given. Determine whether the Question \"51: I6 function has an inverse function. 0 Question 9 0 Question 10 0 Question 11 Does the given function have an inverse function? 0 Question 12 0 Yes O No 0 Question 13 0 Question 14 0 Question 15 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 . . Given the function f(x) = (x+ 1)3, Question list I (3) Find f'1(x). 0 Question 9 (b) Graph fand f'1 in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range off and f' 1. 0 Question '0 (E (a) Find f'1(x). 0 Question '1 f\"(x)=i:| 0 Question '2 0 Question '3 0 Question '4 0 Question '5 0 Question ' 6 0 Question ' 7 0 Question ' 8 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 I 6 The function f(x) = x3 2 is oneto-one. Question list Find an equation for f' 1 (x). the inverse function. 0 Question 1 L' f\"(xi=D (Type an expression for the inverse. Use integers or fractions for any numbers in the expression.) 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 Question list 0 O O O 0 Question 9 Question 10 Question 1 1 Question 12 Question 13 Question 14 Question 15 Question 16 Question 17 Question 18 Question 19 Question 20 Question 21 Question 22 Question 23 Question 24 I The function f(x) = g x e 0. is one-toone. Find an equation for f' 1(x). the inverse function. f\"(x)=|:i, x#0 (Type an expression for the inverse. Use integers or fractions for any number in the expression.) _ _ The function f(x) = x +10 is one-to-one. Question list I Find an equation for f' 1(x), the inverse function. 0 Question 1 r'1(x)=E| (Type an expression for the inverse. Use integers or fractions for any numbers in the expression.) 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 The functions f and g are defined by the following tables. Question "St I6 Use the tables to evaluate the given composite function. - 1 0 Question 9 f (9(3)) 0 Question 10 f'1(g(8))= D 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 Question list l6 The function f(x) = g x 0, is one-to-one. Find an equation forf' 1(X), the inverse function. 0 Question 1 f\"(x)=|j, xaeo (Type an expression for the inverse. Use integers or fractions for any number in the expression.) 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 . _ Given the function f(x) = 2x - 9. Question Ilst I6 _1 (a) Find f . 0 Question 9 (b) Graph fand f'1 in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range off and f' 1. (E 0 Question 10 (a) The inverse function is f' 1(x) = '1. (Use integers or fractions for any numbers in the expression.) 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 . _ Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. Question list I6 9 9 f = d = + 6 (x) M an 900 x 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 niinetinn 1R _ _ Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. Question list I rot) = 5x and g(x) =% 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 Find a formula for the inverse. Question list I _ f(x)7x @ f"(xi=D 0 Question 1 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question ' 0 0 Question ' 1 0 Question ' 2 0 Question ' 3 0 Question ' 4 0 Question ' 5 0 Question ' 6 The functions fand g are defined by the following tables. Question \"St I6 Use the tables to evaluate the given composite function. - 1 O Question 9 f (9(3)) O Question 10 3 f'1(g(8)i= lj 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 ' 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 . _ Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. Question list I f(x) = 3x +1 and g(x)= % 0 Question 1 a. f(g(x)) = D (Simplify your answer.) 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 Does the graph represent a function that has an inverse? Question list K O Question 9 O Question 10 Choose the correct answer below. O Question 11 No Yes O Question 12 O Question 13 O Question 14 O Question 15 O Question 16 O Question 17 O Question 18 O Question 19 Question 20 O Question 21 O Question 22 O Question 23 O Question 24The functions fand g are defined by the following tables. Question \"St I6 Use the tables to evaluate the given composite function. 0 f - 5 0 Question 9 (g )( ) 0 Question 10 (I) (g o m 5) = D 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 K Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. Question list f(x) = - 2x and g(x) = -2x O Question 1 f(g (x)) = O Question 2 O Question 3 O Question 4 O Question 5 Question 6 O Question 7 O Question 8 O Question 9 O Question 10 O Question 11 O Question 12 O Question 13 O Question 14 Question 15 O Question 16Question list 0 0 Question 9 Question 10 Question 11 Question 12 Question 13 Question 14 Question 15 Question 16 Question 17 Question 18 Question 19 Question 20 Question 21 Question 22 Question 23 Question 24 I Does the graph represent a function that has an inverse function? Choose the correct answer below. 0 No C) Yes . . The function f(x) :1]; is oneto-one. Question list I 3. Find an equation for f' 1(x), the inverse function. 0 Question 9 b. Verify that the equation is correct by showing that f(f_ 1 (>0) = x and f' 1(f(x)) = x. 0 Question 10 a. Select the correct choice below and, if necessary. ll in the answer box to complete your choice. A_ F1 = .f so 0 Question 11 O (X) ' ' orx O B_ r'1(x)=l l.foranx o c. f"(x)=l Jena!) 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 . _ The function f(x) = 8x + 1 is one-toone. Question list l Find an equation for f- 1 (x). the inverse function. 0 Question 1 f_1(x)=|j (Type an expression for the inverse. Use integers or fractions for any numbers in the expression.) 0 Question 2 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 Question list | Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. x+7 9 f(x) = 7x - 9 and g(x) = 0 Question 1 a. six = E 0 Question 2 (Simplify your answer. Use integers or fractions for any numbers in the expression.) 0 Question 3 0 Question 4 0 Question 5 0 Question 6 0 Question 7 0 Question 8 0 Question 9 0 Question 10 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 Question list K Given the function f(x) = (x - 6)2, x$6, (a) Find f- (x). O Question 9 (b) Graph f and fin the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f- 1. O Question 10 (a) Find f- (x). Be sure to include any domain restrictions. O Question 11 f - 1 ( x ) = [; x2 0 O Question 12 O Question 13 O Question 14 O Question 15 Question 16 Question 17 O Question 18 O Question 19 O Question 20 O Question 21 Question 22 O Question 23 Question 24Question list 0 0 Question 9 Question 10 Question 11 Question 12 Question 13 Question ' 4 Question ' 5 Question ' 6 Question ' 7 Question ' 8 Question ' 9 Question 20 Question 21 Question 22 Question 23 Question 24 I Does the graph represent a function that has an inverse? ,0}? E.' Choose the correct answer below. 0 No D Yes _ _ Use the graph of f to draw the graph of its inverse y Question list I function. Q a 0 Question 9 t' 10 O Ques ion 0 Question 11 0 Question 12 0 Question 13 0 Question 14 0 Question 15 0 Question 16 0 Question 17 0 Question 18 0 Question 19 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24 Question "51: '6 Given the function f(x)= EV; +12. (a) Find f'1(x). O QUBStion 9 (b) Graph f and F1 in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range offand F1. n (Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power. [W] = y.) 0 Question ' 0 E) 0 Question 41 a) Find f_1(x). Select the correct choice below and ll in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) 0A. -1 =' O Question'2 f (X) .forallx O 3- f'1(x)= dxa QC. -1 = - O Question's 1' (X) txs: 09- r'1(x)= ..x7' 0 Question '4 0 Question '5 0 Question '6 0 Question ' 7 0 Question ' 8 0 Question ' 9 0 Question 20 0 Question 21 0 Question 22 0 Question 23 0 Question 24
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