The inverse of a one to one function

Hello forum,

I personally believe, though I'm not sure, that this topic should be in the Algebra forum. Though, because I'm taking this from a Precalculus class I wasn't entirely sure whether to place it there.

Find the inverse of

To my understanding I must find

I have the answers, but I'm interested in knowing how to find the inverse

The o stands for composed with

Re: The inverse of a one to one function

Re: The inverse of a one to one function

[QUOTE=Plato;749605]Note that 2 is not in the domain of .

Try .

Hello Plato,

I remember you are always actively helping me. I dont know if I portray the following well when I ask for help. But I'm eager to learn the process, the concept.

I'm on a rush to school I will solve it as soon as I have a break. Thanks for replying ^_^

Re: The inverse of a one to one function

[QUOTE=vaironxxrd;749609] Quote:

Originally Posted by

**Plato** Note that 2 is not in the domain of

.

Try

.

I dont know if I portray the following well when I ask for help. But I'm eager to learn the process, the concept.

Here is the process.

Solve for .

Re: The inverse of a one to one function

[QUOTE=Plato;749610] Quote:

Originally Posted by

**vaironxxrd** Here is the process.

Solve

for

.

Lets see if I can get it right this time. I forgot some of the rules when multiplying fractions with variables, fear not, there are many resources.

Wouldn't the two x cancel out?

My best answer is because we are adding 1 to it and therefore the values will change

Re: The inverse of a one to one function

When proving that

I had a little trouble.

Re: The inverse of a one to one function

[QUOTE=vaironxxrd;749802] Quote:

Originally Posted by

**Plato**

What is ? Is that the same thing as ?

Quote:

My best answer is because we are adding 1 to it and therefore the values will change

I'm not sure I can makes sense out of that sentence! Your best answer to **what** question? The question "Wouldn't the two x cancel out?" require a "yes" or "no" answer, not "because".

In any case, the only time something in numerator and denominator cancel is when they are **multipied** by the rest of the numerator and denominator: you can cancel the "x"s in but not in or .