SOLUTION: How do you find the inverse of each function? f(x)=(x+3)2 -2

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Question 30992This question is from textbook Advanced Algebra
: How do you find the inverse of each function?
f(x)=(x+3)2 -2 This question is from textbook Advanced Algebra

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
i assume you mean +f%28x%29=%28x%2B3%29%5E2+-2+?

If so, then we have +y=%28x%2B3%29%5E2+-2+
+y%2B2=%28x%2B3%29%5E2+
+sqrt%28y%2B2%29=x%2B3+
+sqrt%28y%2B2%29+-+3+=+x+

so, f(y) = +sqrt%28y%2B2%29-3
or, since this is the inverse function, we can write it as f%5E%28-1%29%28x%29+=+sqrt%28x%2B2%29-3, in terms of x --> we always tend to quote equations in terms of x.

jon.