- #1

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## Homework Statement

(x+2)^2(x-3) I am asked does an inverse exist for all real numbers? then I am asked can I restrict the domain and force and inverse to exist?

## Homework Equations

I said no because the function is not one-to-one when graphed.

- Thread starter wegnes
- Start date

- #1

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(x+2)^2(x-3) I am asked does an inverse exist for all real numbers? then I am asked can I restrict the domain and force and inverse to exist?

I said no because the function is not one-to-one when graphed.

- #2

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You're given a function. Let's call it f(x) and define it to be equal to (x+2)^2(x-3)

Now you're asked to take the inverse. Do that. There is one REAL value of x for which the inverse is undefined. This should be poignantly obvious. Part two of that question will make sense once you figure out part 1.

- #3

HallsofIvy

Science Advisor

Homework Helper

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wegnes, you say you have graphed it and know that it does not have an inverse because it is not one-to-one. Excellent! Now, on what intervals

Since the question does

- #4

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Thank you! That what I wasn't doing! You are a big help, I apreciate it;o)

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