Question

given: f(x)=(2x+3)/(3X+2),

find the inverse function of this.


please don't give me the answer only, i would like to see the full working out so then i'll know how to do it next time!thanks!!:-)

Answer 1

What you want to do is treat this function as y=(2x+3)/(3x+2)
Now replace every y by x, and every x by y.
Next, alter the equation in that way, so that it read x= some function of y.

When you have done all that, just replace the y's by x, and you have your inverse function in terms of x

Answer 2

I hate to say this, but I found your explanation very difficult to understand, especially your final step.

The method is quite simple :

Step 1. form the inverse equation by interchanging the x and y variables, just like you said.

Step 2. Solve this new equation for y.
That's all, you are done.