Question

F(x)=2x^2+3 and g(x)=x^2-7 find (f-g)(x)

Answer 1

C............................

Answer 2

`(f-g)(x)=x^2+10`

C is the correct option.

Explanation:

We have been given that

`f(x)=2x^2+3\\\\g(x)=x^2-7`

The function (f-g)(x) can rewritten as

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

Substituting the value of f(x) and g(x)

`(f-g)(x)=2x^2+3-(x^2-7)`

Distribute negative over the parenthesis

`(f-g)(x)=2x^2+3-x^2+7`

Now, combine the like terms

`(f-g)(x)=x^2+10`

C is the correct option.