SOLUTION: My problem is to find an inverse of the function f(x)=(3x+7)^3-5. I know this is started as y=(3x+7)^3-5. What steps follow and what is the answer? Thanks for your help!

Question 166272: My problem is to find an inverse of the function f(x)=(3x+7)^3-5. I know this is started as y=(3x+7)^3-5. What steps follow and what is the answer? Thanks for your help!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Switch 'x' and 'y'. The goal now is to solve for 'y'

Add 5 to both sides.

Take the cube root of both sides to eliminate the exponent of '3'

Rearrange the equation

Subtract 7 from both sides

Divide both sides by 3 to isolate (ie solve for) 'y'

So the inverse function is

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