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What is the inverse of the function f(x)=19/x^3 help sovle

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The inverse of this function would be
f(x) = \sqrt[3]{(19)/(x)}


In order to find any inverse function, you must start by switching the x and f(x). After you've done that, you must solve for the new f(x). The result will be your inverse function. The work for this one is below.


f(x) =
(19)/(x^(3)) ----> Switch the x and f(x)


x =
(19)/(f(x)^(3)) ----> Cross multiply.



f(x)^(3) =
(19)/(x) ----> Take the cube root of both sides


f(x) =
\sqrt[3]{(19)/(x)}

User Narancs
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