Question

find the inverse function of $f(x)=10 + sqrt3{x}$. $f^{-1}(x)=$ question help: video

Explanation:

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

$y = 10+\sqrt[3]{x}$

Step2: Swap $x$ and $y$

$x = 10+\sqrt[3]{y}$

Step3: Solve for $y$

Subtract 10 from both sides: $x - 10=\sqrt[3]{y}$
Cube both sides: $(x - 10)^3=y$

Answer:

$(x - 10)^3$