how do you find the inverse of the equation...?

Question

f(x)=(x+2)/3x

would it just be f(x)= -3x/(x-2) ??

also, what does the "f" in front of the equation mean?

Answer 1

In all honesty -- you should be worrying more about the fact that you don't know what "f(x)" means instead of worrying about finding the inverse. It is a much more basic concept & you can't learn more complex things until you have the basics down.

"f(x)" -- means 'function of x'

Instead of looking at this equation, think of this one:

y = (x+2)/3x

In order to find the inverse, use algebra to get something that looks like x = with just numbers and 'y' on the right side.

That is:

y = (x+2)/3x

y = x/3x + 2/3x

y = 1/3 + 2/3x

y-1/3 = 2/3x

3(y-1/3)/2 = 1/x

x = 2/[3(y-1/3)]