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2 years ago

If f(x) = 5-2x^3 and f^-1 denotes the inverse function of f, then f^-1(x)= ?

1 answer:

7 0

$f(x)=5-2x^3\\
y=5-2x^3\\
2x^3=-y+5\\
x^3=-\dfrac{y-5}{2}\\
x=\sqrt[3]{-\dfrac{y-5}{2}}=-\sqrt[3]{\dfrac{y-5}{2}}\\
f^{-1}(x)=-\sqrt[3]{\dfrac{x-5}{2}}$

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