Question
If f\left(x\right)=\left(\frac{x}{8}\right)^2 what is f\left(4\right)?
Answers
GPT-4o mini
To find \( f(4) \) for the function \( f(x) = \left(\frac{x}{8}\right)^2 \), we substitute \( x = 4 \) into the function.
\[
f(4) = \left(\frac{4}{8}\right)^2
\]
First, simplify \( \frac{4}{8} \):
\[
\frac{4}{8} = \frac{1}{2}
\]
Then, we compute \( \left(\frac{1}{2}\right)^2 \):
\[
\left(\frac{1}{2}\right)^2 = \frac{1}{4}
\]
Thus, \( f(4) = \frac{1}{4} \).
The final answer is
\[
\boxed{\frac{1}{4}}
\]
\[
f(4) = \left(\frac{4}{8}\right)^2
\]
First, simplify \( \frac{4}{8} \):
\[
\frac{4}{8} = \frac{1}{2}
\]
Then, we compute \( \left(\frac{1}{2}\right)^2 \):
\[
\left(\frac{1}{2}\right)^2 = \frac{1}{4}
\]
Thus, \( f(4) = \frac{1}{4} \).
The final answer is
\[
\boxed{\frac{1}{4}}
\]