How do you find the inverse to F(x)=(-7x + 3)/(-9x - 9 )?

Hi!!


You need to isolate x from the equation:
y = (-7x + 3)/(-9x - 9) 

==> y = (-7x + 3)/(-9x - 9)  
==> y*(-9x - 9) = -7x + 3
==> -9xy - 9y + 7x = 3
==> -9xy + 7x = 3 + 9y
==> x*(-9y + 7) = 3 + 9y
==> x = (3 + 9y)/(-9y + 7)

From the above result we have that:
G(y) = (3 + 9y)/(-9y + 7) is the inverse of the function F.

Note that F is undefined at x=1 and G is undefined at y=7/9.


See for references the following pages:
"Finding the Inverse of a Function: More Examples"
http://www.purplemath.com/modules/invrsfcn5.htm

"Find Inverse Function (1) - Tutorial":
http://www.analyzemath.com/inversefunction/Tutorials.html

"Find Inverse Function (2) - Tutorial":
http://www.analyzemath.com/inversefunction/Tutorials2.html


Search strategy:
"inverse function" find


I hope this helps you. Feel free to request for a clarification if you need it.

Regards,
livioflores-ga

Thanks sooo much. :-)