Question

A function is shown.
f(x)=-3+8x^2



What is the value of `f\left(5\right)?`

Answer 1

To find the value of \( f(5) \) for the function \( f(x) = -3 + 8x^2 \), substitute \( x = 5 \) into the function:

\[
f(5) = -3 + 8(5^2)
\]

First, calculate \( 5^2 \):

\[
5^2 = 25
\]

Now substitute this value back into the function:

\[
f(5) = -3 + 8(25)
\]

Next, calculate \( 8 \times 25 \):

\[
8 \times 25 = 200
\]

Now combine this with \(-3\):

\[
f(5) = -3 + 200 = 197
\]

Thus, the value of \( f(5) \) is \( \boxed{197} \).