Question

Check Your Understanding
An equation is shown
f (m) = 3m2 -5
Find F(-2)

Answer 1

To find \( f(-2) \) using the function \( f(m) = 3m^2 - 5 \), we substitute \(-2\) for \(m\):

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

Calculate \((-2)^2\):

\[
(-2)^2 = 4
\]

Now substitute back into the equation:

\[
f(-2) = 3(4) - 5
\]

Next, calculate \(3 \times 4\):

\[
3(4) = 12
\]

Now, we can finish calculating \(f(-2)\):

\[
f(-2) = 12 - 5 = 7
\]

Thus, \(f(-2) = 7\).