Question

Use the following function rule to find f(2).

F(x) = -10(5)^x + 1

Answer 1

To find \( f(2) \) using the function rule \( F(x) = -10(5)^x + 1 \), substitute \( x = 2 \) into the function:

\[
F(2) = -10(5)^2 + 1
\]

Now, calculate \( (5)^2 \):

\[
(5)^2 = 25
\]

Next, substitute this value back into the equation:

\[
F(2) = -10(25) + 1
\]

Now, multiply:

\[
-10(25) = -250
\]

So, now continue with:

\[
F(2) = -250 + 1
\]

Finally, perform the addition:

\[
F(2) = -249
\]

Therefore, the value of \( f(2) \) is:

\[
\boxed{-249}
\]