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

Answer:   C. g(-2) = -5

Step-by-step 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

Answer 2

Answer:

Option C.

Step-by-step 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.