Question

The function g(x) is defined as g(x)=-2x²+3x. The value of g(-3) is

Answer 1

To find the value of \( g(-3) \) for the function \( g(x) = -2x^2 + 3x \), we substitute \( -3 \) for \( x \):

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

Now, calculate \( (-3)^2 \):

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

Next, substitute this value back into the equation:

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

Now, calculate \( -2(9) \):

\[
-2(9) = -18
\]

And calculate \( 3(-3) \):

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

Now substitute these results into the equation:

\[
g(-3) = -18 - 9
\]

Finally, perform the addition:

\[
g(-3) = -27
\]

Thus, the value of \( g(-3) \) is \(\boxed{-27}\).