Question

Use the following function rule to find f(0).

f(x)= 8(9)^x
f(0)=___

Answer 1

To find \( f(0) \) using the function rule \( f(x) = 8(9)^x \), we will substitute \( x = 0 \) into the function.

\[
f(0) = 8(9)^0
\]

Since any nonzero number raised to the power of 0 is equal to 1:

\[
(9)^0 = 1
\]

Now substitute this back into the equation:

\[
f(0) = 8 \cdot 1 = 8
\]

Therefore, \( f(0) = 8 \).