Question

The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).

Answer 1

3x^2 + 8

Step-by-step explanation:

Given functions,

f(x) = 3x + 8 ----(1)

g(x) = x^2 -----(2)

Since,

(fog)(x) = f( g(x) ) ( Composition of functions )

=f(x^2) ( From equation (2) )

=3x^2 + 8 ( From equation (1) )

Hence,

(fog)(x)=3x^2 + 8

Explanation: