# Math Help - Find the Inverse

1. ## Find the Inverse

(1) Find the inverse of the linear function
f(x) = mx + b, m does not = 0.

(2) Find the inverse of the function
f(x) = sqrt{r^2 - x^2}, 0 < or = to x < or = to r

2. Originally Posted by magentarita
(1) Find the inverse of the linear function
f(x) = mx + b, m does not = 0.
$f(x)=mx+b$

$y=mx+b$

Interchange the x and y. Then, solve for y.

$x=my+b$

$my=x-b$

$y=\frac{x-b}{m}$

Originally Posted by magentarita

(2) Find the inverse of the function
f(x) = sqrt{r^2 - x^2}, 0 < or = to x < or = to r
Actually, Earboth did a good job of explaining this one here: http://www.mathhelpforum.com/math-he...functions.html

And yes, you take the square root of both sides. The inverse is the same as the original function.

3. ## Thanks....

Originally Posted by masters
$f(x)=mx+b$

$y=mx+b$

Interchange the x and y. Then, solve for y.

$x=my+b$

$my=x-b$

$y=\frac{x-b}{m}$

Actually, Earboth did a good job of explaining this one here: http://www.mathhelpforum.com/math-he...functions.html

And yes, you take the square root of both sides. The inverse is the same as the original function.
Thank you so much for your great help.