SOLUTION: Find the inverse of f(x)=(x+4)^3
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Question 1041432: Find the inverse of f(x)=(x+4)^3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
 = (x+4)^3)
^3)
Replace f(x) with y.
^3)
Swap x and y. Now solve for y.
^3})
Apply the cube root to both sides to undo the cubing.
Notice how the cubing and cube root cancel on the right hand side.
Subtract 4 from both sides.
 = -4+\sqrt[3]{x^{ \ }})
Now that y is fully isolated, replace it with the inverse function notation )
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The inverse function is
where 
is the cube root of x.
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