SOLUTION: how do i find the inverse of f(x)=-9x+1/-4x+ 6 ?

Algebra ->  Functions -> SOLUTION: how do i find the inverse of f(x)=-9x+1/-4x+ 6 ?      Log On


   

Question 673326: how do i find the inverse of f(x)=-9x+1/-4x+ 6 ?
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x then substitute x for the y variable.
...
f(x) = %28-9x%2B1%29%2F%28-4x%2B6%29
y = %28-9x%2B1%29%2F%28-4x%2B6%29
...
Multiply both sides by (-4x+6) to be rid of the fraction
(-4x+6)y = -9x+1
...
Distribute y
-4xy + 6y = -9x + 1
...
Isolate the x variable on one side
-4xy + 9x = 1 - 6y
...
Factor out the x variable
x(-4y + 9) = 1 - 6y
...
Divide both sides by (-4y+9) to isolate x
x+=+%281-6y%29%2F%28-4y%2B9%29
...
f%5E-1 = %281-6x%29%2F%28-4x%2B9%29

.....................
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.