Question

For f(x)=x+3 and g(x)=5x +5 find the (f o g)(x)

Answer 1

Answer: (f o g)(x) = 5x + 8

Explanation:

(f o g)(x) is f(g(x)) which reads as f of g of x. To find this composition function, we will substitute g(x) into f(x) for x.

Given:

f(x) = x + 3, g(x) = 5x + 5

Substitute:

(f o g)(x) = (5x + 5) + 3

Simplify:

(f o g)(x) = 5x + 8