verifying a function is one to one and finding inverse

**sydewayzlocc** · April 9th 2010, 05:08 PM

I need help with this. Determine whether the function is one-to-one. If it is, find its inverse function. (If an answer does not exist, enter DNE.)

**Sudharaka** · April 9th 2010, 05:19 PM

Originally Posted by sydewayzlocc

I need help with this. Determine whether the function is one-to-one. If it is, find its inverse function. (If an answer does not exist, enter DNE.)

Dear sydewayzlocc,

This is an equation of a straight line. Therefore the function is one-to-one.

$f(x)=ax+b$

$x=\frac{1}{a}\left(f(x)-b\right)$

Therefore inverse function, $f^{-1}(x)=\frac{1}{a}\left(x-b\right)$

Hope this will help you.

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