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!!
