SOLUTION: Hi I am stumbled with this problem: Find the inverse function g of the given function, and state the domain and range of g. y = f(x) = (x+2)^3

Question 111761This question is from textbook College Algebra
: Hi I am stumbled with this problem:
Find the inverse function g of the given function, and state the domain and range of g.
y = f(x) = (x+2)^3

This question is from textbook College Algebra

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Switch x and y

Now let's solve for y

Take the cube root of both sides

Subtract 2 from both sides

So our inverse function is

Now if we graph, we get

So we can see that the domain and range of g is all real numbers (for both of them)
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