SOLUTION: Find the inverse function of \ h(x) = 4 (x - 7)^3 .

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Question 880149: Find the inverse function of \ h(x) = 4 (x - 7)^3 .
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Replace h(x) with y. Then swap x and y. Then solve for y.


h%28x%29+=+4%28x+-+7%29%5E3


y+=+4%28x+-+7%29%5E3


x+=+4%28y+-+7%29%5E3


x%2F4+=+%28y+-+7%29%5E3


%28y+-+7%29%5E3+=+x%2F4


y+-+7+=+root%283%2Cx%2F4%29


y+=+root%283%2Cx%2F4%29%2B7


The inverse is h%5E%28-1%29%28x%29+=+root%283%2Cx%2F4%29%2B7