Question

Please help!posted picture of question

Answer 1

We are to find (f-g)(x). This means the difference of g(x) from the function f(x). So we can write:


`(f-g)(x)=f(x)-g(x) \\ \\ (f-g)(x)=3 x^(2) -4-(x+2) \\ \\ =3 x^(2) -4-x-2 \\ \\ =3 x^(2) -x-6`

Thus, Option B gives the correct value of (f-g)(x)

Answer 2

To find (f-g)(x), we can subtract f(x) - g(x):
f(x) = 3x^2 - 4, and g(x) = x + 2
Therefore, f(x) - g(x) = 3x^2 - x - 6
This is equivalent to choice B.

*If there was a given value of x, for example, (f-g)(4), then after getting the value of (f-g)(x), we substitute the value of x = 4, and evaluate.