Question

Given the functions `f(x)=x-7` , `g(x)=x^2` and `h(x)=(x-7)^2` how do you find (g-f)(x) ?

Answer 1

`(g-f)(x)=x^2-x+7`

Explanation:

The only two functions you need here are `f(x)` and `g(x)`. You simply have to subtract `f(x)` from `g(x)`.

`color(red)(f(x)=x-7)`

`color(blue)(g(x)=x^2)`

`[1]" "(g-f)(x)=color(blue)(g(x))-color(red)(f(x))`

`[2]" "(g-f)(x)=color(blue)(x^2)-color(red)((x-7))`

`[3]" "color(magenta)((g-f)(x)=x^2-x+7)`