assignment 1 part 1

question 1

The functions s and t are defined as follows. s (x) = -2x-2 t (x) = 2x-+2 Find the value of s (t (-5)). s (+ (-5)) = 0 X 5 ?Suppose that the functions u and w are defined as follows. u (x) =x+9 w (x) =vx+8 Find the following. (w ou) (8) = [ (u . w) (8) = 0 X 5For 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.) 0 (a) f (xx) = x+3 (b ) f (x ) = x #0 2x g (x) = x - 3 8 (x ) = - - X 5 ? 2x fle (xx)) = 0 fle (xx)) = 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 = ((-9, 4), (-1, 7), (1, -6), (3, -1)) h ( x) = x - 13 11 Find the following. 8 (-1) = h ( * ) = 0 X 5 ( not " ) (- 1 ) = 0\fGraph the exponential function. fix) = 4" Plot ve points on the graph of the function, and also draw the asymptote. Then click on the graphafunction button. Graph the exponential function. f (x) = ( 4 ) * Plot five points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button. . . . . ... . . . ....;... . . . . ... . . . ...." ... ...;.... ;...3.. .... .! . .. . . . . ..:.. :... ......... EX ...... ..!... ..:.. . . . . . ! . . . .; . . . ! . . . <. . .3 ..:.. :. ... ..... .. x ..i.. : ........ .i .... ...... .4. i.. .4 .1.. .5. ..10.. ..12 :.... .5 ....... .p...i...graph the exponential function. f plot five points on graph of function and also draw asymptote. then click graph-a-function button. ...5 .p... ...5.. ...5... ...5...18- ...5. ..:... ......i... ...i... .......p... i .:4- :.-10. .-4. ...6...4...8... ..10. ..1... ..5 ....5 ..graph glex to do this two graphafunction additionally give domain range using interval notation. a domain: nun range: use aleks calculator evaluate each expression. round your answers nearest thousandth. not any intermediate computations. in="log">