Question

Evaluate g left parenthesis negative 3 right parenthesis for the function g left parenthesis x right parenthesis equals 5 x squared minus 2 x.
(1 point)
Responses

negative 39
Image with alt text: negative 39

39
39

51
51

negative 51
Image with alt text: negative 51

Answer 1

To evaluate \( g(-3) \) for the function \( g(x) = 5x^2 - 2x \), we substitute \( x = -3 \) into the function:

\[
g(-3) = 5(-3)^2 - 2(-3)
\]

Calculating \( (-3)^2 \):

\[
(-3)^2 = 9
\]

Now substituting back in:

\[
g(-3) = 5(9) - 2(-3)
\]

Calculating \( 5(9) \):

\[
5(9) = 45
\]

And calculating \( -2(-3) \):

\[
-2(-3) = 6
\]

Now we combine these results:

\[
g(-3) = 45 + 6 = 51
\]

Thus, the value of \( g(-3) \) is \( 51 \).

The correct answer is \( \boxed{51} \).