Question

If f(x)=3x^2+1 and g(x)=1-x, what is the value of (f-g)(2)?

Answer 1

`(f-g)(2)=28`

Explanation:

Given:

`f(x)=3x^2+1`

`g(x)= 1-x`

To find the equivalent expression of
`(f-g)(2)`.

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

Find g(x)

`g(x)=1-x`

Sub x for 2

`g(2)=1-2`

`g(2)=-1`

Find f(x)

`f(x)=3x^2+1`

Sub x for 2

`f(2)=3(2)^2+1`

`f(2)=12+1`

`f(2)=12+1`

`f(2)=13`

Solve for the giving value

`(f-g)(2)`

`(13- (-1)) (2)`

`14(2)`

28

Answer 2

The answer should be 14.

You just have to substitute x with the given number and finish the equation.