Question

Use the following function rule to find f(5).

F(x) = 2(3)^x +6

Answer 1

To find \( f(5) \) using the function rule \( F(x) = 2(3)^x + 6 \), we simply need to substitute \( x = 5 \) into the function.

\[
F(5) = 2(3)^5 + 6
\]

First, calculate \( (3)^5 \):

\[
(3)^5 = 243
\]

Now, substitute this back into the equation:

\[
F(5) = 2(243) + 6
\]

Now, compute \( 2(243) \):

\[
2(243) = 486
\]

Finally, add 6:

\[
F(5) = 486 + 6 = 492
\]

Thus, the value of \( F(5) \) is:

\[
\boxed{492}
\]