Question

find the inverse function of $f(x)=18 + sqrt3{x}$. $f^{-1}(x)=$
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Explanation:

Step1: Replace $f(x)$ with $y$

$y = 18+\sqrt[3]{x}$

Step2: Swap $x$ and $y$

$x = 18+\sqrt[3]{y}$

Step3: Solve for $y$

Subtract 18 from both sides: $x - 18=\sqrt[3]{y}$
Cube both sides: $(x - 18)^3=y$

Answer:

$(x - 18)^3$