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mynameisjeff1417
27.09.2020 •
Mathematics
Find the inverse of the function.
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Ответ:
f(x) =![4\sqrt[3]{x} - 8](/tpl/images/0781/6768/49b51.png)
Let's replace f(x) with y
y =![4\sqrt[3]{x} - 8](/tpl/images/0781/6768/49b51.png)
Switch the x and y
x =![4\sqrt[3]{y} - 8](/tpl/images/0781/6768/243cd.png)
Now, let's solve for y. Start off by adding 8 to both sides.
x + 8 =![4\sqrt[3]{y}](/tpl/images/0781/6768/11dc1.png)
Divide both sides by 4
Take each side by the power of 3
Now, let's replace y with![f^{-1}(x)](/tpl/images/0781/6768/29b16.png)
Ответ:
-r + 15
Step-by-step explanation: remove the parentheses, collect like terms
3r + 15 - 4r