SOLUTION: Hi I'm trying to find the inverse function of f(x)= (x-4)^2 and x less than equal to 4. I'm also struggling with how to find the domain of the inverse as well. How to find the

Question 729300: Hi I'm trying to find the inverse function of f(x)= (x-4)^2 and x less than equal to 4. I'm also struggling with how to find the domain of the inverse as well.
How to find the inverse function?
How to find the domain of the inverse function?
thanks again
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The question seems to ask you for what would be the upper branch of the resulting inverse, which is why the condition, .

Assume you will call the inverse of f(x), as g(x). You want g(f(x))=f(g(x))=x.

Starting with your given function, f(x), and you must have .
, and we will use this positive root, not the negated root.
, the inverse of f(x).

As for the domain of g(x), just ask yourself, what is the set of numbers which is acceptable for x?
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