question 1

The functions q and r are defined as follows. q (x) = -5x+4 r (x) =-4x+4 Find the value of q (r (-2)). 9 (x (-2)) = 0 X 5 ?Suppose that the functions q and y are defined as follows. q (x) =2x -1 r (x) = -2x -2 Find the following. (g or) (2) = 0 (r . q) (2) = 0 X 5 ?For each pair of functions f and g below, find f(g (x)) and g (f(x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f (x) = x$0 (b) f (x) = x+4 6x 1 8 ( x ) = - g (x) = x+4 X ? 6x fg (x)) = 0 fg (x) ) = 0 8(f (x)) = 0 8 (f (x)) = 0 Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each otherThe one-to-one functions g and h are defined as follows. g = ((1, 7), (4, 9), (6, -6), (7, -4), (8, 5)} h (x ) = -x+9 5 Find the following. 8 (7) = 1 i ( x ) = 0 X 5 ? ( hon ) (4 ) = 0\fGraph the exponential function. f ( x ) = Plot five points on the graph of the function, and also draw the asymptote. Then click on the grap 16- 14 X 12- X ? 10- 8- 6-Graph the exponential function. X f (xx) =-2 Plot five points on the graph of the function, and also draw the asymptote. Then click on the g ."....Y...;......;... ..."... ; . . . . . . . ; . . . ];] . . ; . . . . . . . ;. . . . . . . . . . ; . . . . . . . i . . . . . . . . . . i . . . . . ..i.. . C. . .. . ... . ... .. ... ... . . . . ... . !... ..... .... ...:.. . .. .!. . .. ...... .:.. . i . . .... . .. ... ... . . . .. !. ..;. HTH . . . i . . . .:.. . . . .!... .... .. X 5 . . .. . . .. ..! . .. .;...!.. . . .. . . . .. . .. . .!.. ..:.. . . . . ..!. . . .. . . .; .. .:.... . ! . . .... ... . ...... . . .. .. .. ... . ...! . . . ..!... .. ! . ... . . . 2 . ..! .. . ...! Pope. ..... .. ......!....3...! ...:...12.4..-10.. ..-8... ...6.....-4.. ....-2 ..:... .....2..... 5. ..... ..... :. ... .. ... ..i . ...;.. ..i . .. . . .. .. . .. ....... ..3.......5...... .... ... 4 4- .! ... .... !.. ..!". .. .. 3... . . . . .. :...... 16- . . . . ..:.. . . .. . i .. ..!.. .!.. . . ..! . i . . . .;... ...i . . . . . . . 5. .. i .. . .; .Graph the exponential function. fix) = (g) Plot ve points on the graph of the function, and also draw the asymptote. Then click on the gr; Graph the exponential function gfx) = 3x+ 2. To do this, plot two points on the graph of the function, and also draw the asymptote. Then click on the graphafunction button. Additionally, give the domain and range of the function using interval notation. Domain: (ELEI) [ELEI] Ola] [mm (D nun Range: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations. log = In 28.1 = I X 5