SOLUTION: I don't understand inverse functions: f(x)= 2-4x/1-5x I can't even begin to work this one! Thanks for your time!

Question 11800: I don't understand inverse functions:

f(x)= 2-4x/1-5x

I can't even begin to work this one!
Thanks for your time!

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
I'm assuming that you mean ???

If so, start with

The inverse function can be obtained by two steps:
Step 1: Interchange the x and the y.
Step 2: Solve for y. The y that you solve for is actually the inverse function. Of course, step 2 will probably take several steps to accomplish.

Step 1: Interchange the x and y. Change the x's into y's and the y to x:

Step 2: Solve for y. To get started on this, multiply both sides by the common denominator, which is .

Get all the y terms on the left side, by adding +4y to each side:

Get all NON-y terms to the right side by subtracting x from each side:

To get the y in one place, factor out the y:

Divide both sides by (-5x + 4):

There are several ways to write this that might be even better:
or multiply numerator and denominator by -1:
This would be the preferred answer!!

R^2 at SCC

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