Question

If `f(x)=x/4-3` and `g(x)=4x^2-4`, find `(f+g)(x)`?

Answer 1

`4x^2+x/4-7`

Explanation:

`f+g(x)=f(x)+g(x) rarr` Add the functions together

`x/4-3+(4x^2-4)`

`x/4-3+4x^2-4`

`x/4-3-4+4x^2 rarr` Combine like terms

`x/4-7+4x^2`

`4x^2+x/4-7 rarr` Rearrange to put the variables first