Question

Which function is the inverse of f(x) = 4x^3 - 2?

Answer 1

Answer:

$g(x)=\sqrt[3]{\frac{x+2}{4}}$

Step-by-step explanation:

$y=4x^3-2$

$x=4y^3-2$

$4y^3-2=x$

$4y^3-2+2=x+2$

$4y^3=x+2$

$\frac{4y^3}{4}=\frac{x}{4}+\frac{2}{4}$

$y^3=\frac{x+2}{4}$

$y=\sqrt[3]{\frac{x+2}{4}}$

$g(x)=\sqrt[3]{\frac{x+2}{4}}$