SOLUTION: If f is one-to-one find an equation for its inverse: f(x)=6x^3-7

SOLUTION: If f is one-to-one find an equation for its inverse: f(x)=6x^3-7

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Question 686840: If f is one-to-one find an equation for its inverse:
f(x)=6x^3-7
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
$f(x)=6x^3-7$

$y=6x^3-7$

$x=6y^3-7$

$x+7=6y^3$

$\frac{x+7}{6}=y^3$

$y^3=\frac{x+7}{6}$

$y=\sqrt[3]{\frac{x+7}{6}}$

$f^{-1}(x)=\sqrt[3]{\frac{x+7}{6}}$
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