Question

If f(x) = 3x2 - 4 and g(x) = x+2, find (f - g)(x).

Answer 1

3x^2-x-6

Explanation:

f-g means you are going to do (3x^2-4)-(x+2)

3x^2-4-x-2

Combine like terms

3x^2-x-6

Answer 2

`(f-g) (x) = 3x ^ 2- x - 6`

Explanation:

We have the following functions

`f (x) = 3x ^ 2-4`

`g (x) = x + 2`

To find
`(f-g) (x)` we must subtract the function f(x) with the function g (x)

Then we perform the following operation

`(f-g) (x) = 3x ^ 2-4- (x + 2)`

`(f-g) (x) = 3x ^ 2-4- x - 2`

`(f-g) (x) = 3x ^ 2- x - 2-4`

Finally we have that:

`(f-g) (x) = 3x ^ 2- x - 6`