Problem

Given the one-to-one function $f(x)=x^{3}+4$ find the following. Hint You do not need to find the equation for $f^{-1}(x)$.
a. $f(3)$
b. $f^{-1}(31)$
a. Find the following value.
\[
f(3)=
\]

Answer

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Answer

So, the final answer is \(\boxed{31}\).

Steps

Step 1 :Given the one-to-one function \(f(x)=x^{3}+4\), we need to find the value of \(f(3)\).

Step 2 :Substitute \(x=3\) into the function \(f(x)=x^{3}+4\).

Step 3 :Calculate the value to get \(f(3)=31\).

Step 4 :So, the final answer is \(\boxed{31}\).

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