Question

If f(x) = 4x - 8 and g(x)=x²-5, what is
(f+g)(x)?

Answer 1

Add f and g together by combing like terms

answer: x^2 + 4x -13

Answer 2

`(f+g)(x)=x^2+4x-13`

Explanation:

Given functions:

`f(x)=4x-8`

`g(x)=x^2-5`

Composite function:

`\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (4x-8)+(x^2-5)\\ & =4x-8+x^2-5\\ & =x^2+4x-8-5\\ & = x^2+4x-13 \end{aligned}`