Question

For f(x)=2x+1 and g(x)=x+14, find (g o f)(x).

A) 2x^2-6
B) 4x^2+4x-6
C) 2x+15
D) 2x^2-13

Answer 1

C) 2x + 15

Explanation:

`(g\circ f)(x)=g\bigg(f(x)\bigg)\\\\f(x)=2x+1,\ g(x)=x+14\\\\\text{Exchange}\ x\ \text{in}\ g(x)\ \text{to}\ (2x+1):\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)=g(2x+1)=(2x+1)+14=2x+15`