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Find the inverse of the following function f(x)= cubed root of x+12

2 Answers

4 votes

Answer:


x^(3) -12

Explanation:


y=\sqrt[3]{x+12}

Replace x with y to get


x=\sqrt[3]{y+12}

Cube both side


x^(3)=y+12

Subract 12 from both sides


x^3-12=y

User Familia
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1 vote
It’s been a while but I’m pretty sure you swap the variables. So for simplicity in my steps I’m replacing f(x) with y. So you start with y=cube root of x+12
First you need to swap variables so the equation is now x= cube root of y+12
Then you need to remove the cube root by cubing each side which gives you x^3= y+12
Then subtract 12 from both sides giving you x cubed - 12 =y
Finally you must replace the y with f^-1 (x) to show it’s an inverse so the inverse is f^-1 (x) = x cubed - 12 or if you’re using y, it would be y= x cubed - 12
User Marcel Hansemann
by
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