SOLUTION: Find the inverse equation of {{{y=root(3,x+5)-4}}}

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Question 128487: Find the inverse equation of y=root%283%2Cx%2B5%29-4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y=root%283%2Cx%2B5%29-4 Start with the given equation


x=root%283%2Cy%2B5%29-4 Swap x and y. Now the goal is to solve for y to find the inverse function


x%2B4=root%283%2Cy%2B5%29 Add 4 to both sides


%28x%2B4%29%5E3=y%2B5 Cube both sides


%28x%2B4%29%5E3-5=y Subtract 5 from both sides


So our inverse function is y=%28x%2B4%29%5E3-5