Question

Use the following function rule to find f(3).

f(x) = 10 ( 4 )^x − 8

Answer 1

To find \( f(3) \) using the function rule \( f(x) = 10(4)^x - 8 \), we will substitute \( x = 3 \) into the function.

\[
f(3) = 10(4)^3 - 8
\]

First, calculate \( 4^3 \):
\[
4^3 = 64
\]

Now, substitute this value back into the function:
\[
f(3) = 10(64) - 8
\]

Next, multiply:
\[
10 \times 64 = 640
\]

Now, subtract 8:
\[
640 - 8 = 632
\]

Thus, \( f(3) = 632 \).