Question

If f(x)=x^2+3 and g(x)=2x-5 find (f-g) (x)

Answer 1

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

Explanation:

We have the following two functions:

`f(x)=x^2 +3g(x) = 2x-5`

In order to solve for
`(f - g)(x)` we look at the two functions and realize that:

`(f - g)(x) = f(x) - g(x) = x^2+3-2x-5=x^2-2x-2`

Therefore:

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