Question

7. Find (f•g)(x) for the pair of functions.
f(x)=x+1
g(x) = 4x - 11
(f•g)(x) =

Answer 1

(f•g)(x) = 4x² -7x -11

Explanation:

The product of the two functions is the product of their respective definitions.

(f•g)(x)

(f•g)(x) = f(x)•g(x) = (x+1)•(4x -11)

= x(4x -11) +1(4x -11) . . . . . use the distributive property

= 4x² -11x +4x -11 . . . . . . . and again

(f•g)(x) = 4x² -7x -11 . . . . . collect terms