SOLUTION: show that: f(x)= 3x-2/5x-3 is its own inverse

SOLUTION: show that: f(x)= 3x-2/5x-3 is its own inverse

Algebra.Com

Question 316797: show that:
f(x)= 3x-2/5x-3
is its own inverse
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Switch to x-y format,

Now interchange the positions of x and y and solve for y.
The new solved y will be the inverse function.

RELATED QUESTIONS
show that f(x)= 3x-2 divided by 5x-3 is its own... (answered by Fombitz)

I need the inverse of {{{f(x) = (3x-2)/(5x-3)}}} with proof (like, f(f^-1(x)) that it's... (answered by Boreal,Theo)

For what domain are f(x) = x^2 and g(x)=√x inverse functions? Make sure you use... (answered by greenestamps)

I am trying to find the inverse equation of F(x)= (2-x)/(5x) I get x=(2-y)/(5y)... (answered by Alan3354)

The function f is one-to-one. Find its inverse. FIND THE DOMAIN OF THE INVERSE. Please (answered by stanbon)

verify that the function g(x)=x-2/5 is the inverse function of f(x)=5x+2. show your... (answered by stanbon)

What is the value of k so that the function f(x) = (x-6)/(2x+k) will be its own... (answered by josgarithmetic)

Verify that the function g(z)=(x-2)/5 is the inverse function of f(x)=5x+2. Show your... (answered by stanbon,Fombitz)

Determine if f(x) = (3x + 2) / 5 is one-to-one. If so, find its... (answered by nerdybill)