Let f (x) = 4x2 9 and g(x) = x - 3. (a) Find the composite function ( f o g)(x) and simplify. Show work. (b) Find ( f o g)(2) . Show work.

26. Let f (x) = 4x2 − 9 and g(x) = x – 3.

(a) Find the composite function ( f o g)(x) and simplify. Show work.

(b) Find ( f o g)(−2) . Show work.

28. Given the function

               1

f(x)= 2+ __ x, find the formula for the inverse function. Show work.

              8

I tried to type the equation as (1/8) or 1 over 8, hopefully its understandable.

SolutionHide Steps 2 3 2 f = 4x − 9, g = x − 3, ( f ( x ) · g ( x ) ) ( x ) : 4x − 12x − 9x + 27 Steps2Assign the function f = 4x − 9 = ( ( 4x2 − 9 ) g ( x ) ) ( x ) Assign the...