Question

If f(x)=6x^2-4 and g(x)=2x+2 find (f-g)(x)

Answer 1

Answer:
`(f-g)(x)=6x^2-2x-6`

Explanation:

`f(x)=6x^2-4\\g(x)=2x+2\\(f-g)(x)=`

Take each function and subtract them.

`(f-g)(x)=(6x^2-4)-(2x+2)`

The trick here is that the negative sign changes all of the signs inside the parentheses.

`(f-g)(x)=6x^2-4-2x-2`

Combine like terms;

`(f-g)(x)=6x^2-2x-6`