Mathematics, 13.11.2020 08:10 tggfjhzf
Consider the function 
. If 
is the inverse function of 
, find 
.
Answers: 2
variable.![\begin{aligned}f(x)&=1000x^3\\x&=1000y^3\\\frac{x}{1000}&=y^3\\\sqrt[3]{\frac{x}{1000}}&=y\\\frac{\sqrt[3]{x}}{\sqrt[3]{1000}}&=y\\\frac{\sqrt[3]{x}}{10}&=y\\f^{-1}(x)&=\frac{\sqrt[3]{x}}{10}\end{aligned}](/tpl/images/1919/9065/b6cb0.png)
![\begin{aligned}f^{-1}(x)&=\frac{\sqrt[3]{x}}{10}\\f^{-1}(125)&=\frac{\sqrt[3]{125}}{10}\\f^{-1}(x)&=\frac{5}{10}\\f^{-1}(x)&=\frac{1}{2}\end{aligned}](/tpl/images/1919/9065/7f6cf.png)
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Consider the function . If is the inverse function of , find ....
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