# Thread: Many-One Relation Function and Its Inverse Function

1. ## Many-One Relation Function and Its Inverse Function

$\displaystyle f(x)=(x+2)^2-3$
$\displaystyle g(x)=(x-3)^2+5$
$\displaystyle h(x)=(x+5)^2+1$

Find the inverse function of each function above and sketch both funtion and inverse function.

(Please show me all answers of the 3 function I given, you no have to worry about I have no exercise to try, because I have a lot of exercise books. Thanks a lot.)      2. Originally Posted by SengNee $\displaystyle f(x)=(x+2)^2-3$
$\displaystyle g(x)=(x-3)^2+5$
$\displaystyle h(x)=(x+5)^2+1$

Find the inverse function of each function above and sketch both funtion and inverse function.

(Please show me all answers of the 3 function I given, you no have to worry about I have no exercise to try, because I have a lot of exercise books. Thanks a lot.)      Try reading this:

Inverse function - Wikipedia, the free encyclopedia

3. Originally Posted by mathceleb I still don't understand.......   4. Inverse function
Should give a better understanding in that table.

5. Originally Posted by Xcel Inverse function
Should give a better understanding in that table.
Still don't understand...

The restriction should x≥0?
Or
Let, stationary point=(a,b)
The restriction should x≥a?

If the inverse function is square root of y, we should assume square root of y are always ≥0?

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