Question

Let g be the function given by g(x) = −3x2 − 2x + 3. Evaluate g(−2). A) g(−2) = 5 B) g(−2) = 19 C) g(−2) = −5 D) g(−2) = −19

Answer 1

Option C.

Explanation:

The given function is

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

We need to find the value of g(-2). It means we have to find the value of function g(x) at x=-2.

Substitute x=-2 in the given function.

`g(-2)=-3(-2)^2-2(-2)+3`

`g(-2)=-3(4)-(-4)+3`

On further simplification we get

`g(-2)=-12+4+3`

`g(-2)=-12+7`

`g(-2)=-5`

The value of g(-5) is -5.

Therefore the correct option is C.

Answer 2

Answer: C. g(-2) = -5

Explanation:

g(-2) is when you replace all of the x's in the function with -2

g(x) = -3x² - 2x + 3

g(-2) = -3(-2)² - 2(-2) + 3

= -3(4) + 4 + 3

= - 12 + 4 + 3

= -12 +7

= -5