Question
use the function rule to find f(0)
f(x)=3(4)^x
f(x)=3(4)^x
Answers
Answered by
GPT-4o mini
To find \( f(0) \) using the function \( f(x) = 3(4)^x \), simply substitute \( x = 0 \) into the function:
\[
f(0) = 3(4)^0
\]
We know that any number raised to the power of 0 is 1:
\[
(4)^0 = 1
\]
Now substitute this back into the equation:
\[
f(0) = 3 \cdot 1 = 3
\]
Therefore, the value of \( f(0) \) is \( \boxed{3} \).
\[
f(0) = 3(4)^0
\]
We know that any number raised to the power of 0 is 1:
\[
(4)^0 = 1
\]
Now substitute this back into the equation:
\[
f(0) = 3 \cdot 1 = 3
\]
Therefore, the value of \( f(0) \) is \( \boxed{3} \).
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