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. \[ f(3)= \]

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 \(\boxed{31}\).