Question

If } (x) = 8x and g(x) = 2x+1, find (fºg)(x).

Answer 1

16x + 8 = (fºg)(x).

Explanation:

If f(x) = 8x and g(x) = 2x+1, find (fºg)(x).

This is a composite function. To form it properly, substitute g(x) = 2x + 1 for x in f(x) = 8x. We get:

8(2x + 1)(x), or 16x + 8 = (fºg)(x).

Answer 2

Answer: 16x+8

Explanation:

(fоg)(x) is f of g(x). This means you plug in g(x) into f(x). Since we are given f(x) and g(x), we can directly plug in g(x) into x.

(fоg)(x)=8(2x+1) [distribute 8]

(fоg)(x)=16x+8