Question

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

F(x) = 3(7)^x -3

Answer 1

To find \( f(2) \) using the function rule \( f(x) = 3(7)^x - 3 \), we can substitute \( x = 2 \) into the function.

\[
f(2) = 3(7)^2 - 3
\]

Now, calculate \( 7^2 \):

\[
7^2 = 49
\]

Next, substitute 49 back into the equation:

\[
f(2) = 3(49) - 3
\]

Now perform the multiplication:

\[
3 \times 49 = 147
\]

Finally, subtract 3:

\[
f(2) = 147 - 3 = 144
\]

Thus, \( f(2) = 144 \).