if f(x) = 4 x^2 and g(x) = x+1, find (f•g)(x)

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

f(x) = 4 x^2 and g(x) = x+1

 find (f•g)(x)

Solution:

The given condition is a composition of a function, which means that we will be substituting the value of g to f(x)

(f•g)(x) = 4(x+1)^2

(f•g)(x) = 4(x^2 + 2x + 1)

Distribute 4 to each value inside the parenthesis.

(f•g)(x) = 4x^2 + 8x + 4

Final answer:

(f•g)(x) = 4x^2 + 8x + 4