How do you find the inverse of #y=x^3 +5# and is it a function?

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Answer 1 · 2016-06-08T22:46:52

The inverse of a function is found by switching the x and y values in the equation.

#y = x^3 + 5#

#:. x = y^3 + 5#

#x - 5 = y^3#

#root(3)(x - 5) = y#

#f^(-1)(x) = root(3)(x - 5)#

Here is the graph of #f^(-1)(x)#:

enter image source here

As you can see, every value of x is accompanied by only one value of y, so this relation is a function .

Hopefully this helps!