SOLUTION: The one-to-one function is defined by f(x)=6x/(7x-2) . Find f^-1 , the inverse of f . Then, give the domain and range of f^-1 using interval notation.

SOLUTION: The one-to-one function is defined by f(x)=6x/(7x-2) . Find f^-1 , the inverse of f . Then, give the domain and range of f^-1 using interval notation.

Algebra.Com

Question 769513: The one-to-one function is defined by
f(x)=6x/(7x-2)
.
Find f^-1 , the inverse of f . Then, give the domain and range of f^-1 using interval notation.
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
y=6x/(7x-2)
y(7x-2)=6x
7xy-2y=6x
7xy-6x=2y
x(7y-6)=2y
x=2y/(7y-6)
Inv(f(x))=2x/(7x-6)
dom(Inv(f(x))=(-oo,6/7)U(6/7,oo)
ran(Inv(f(x))=(-oo,oo)
RELATED QUESTIONS
The one-to-one function is defined by f(x) = x/(8-9x) Find f^-1, the inverse of f... (answered by stanbon,Theo)

The one-to-one function f is defined below. =f(x)=x/5x-4 Find f^-1, where f^-1 is the... (answered by greenestamps)

Find the inverse of the given one to one function f(x) = (x-1)/(x+2) Give the domain and... (answered by stanbon)

The function f is one-to-one, find its inverse and determine the domain and range of both (answered by stanbon)

Question 3.7/12 Let f(x)=(x+1)2 Give the largest domain on which f is one-to-one... (answered by KMST)

For each fuction as defined that is one-to-one, (a) write an equation for the inverse... (answered by longjonsilver)

for the one-to-one function f(x)= 2/x-4 Find the inverse f^-1 Find the domain and range (answered by mickclns)

For the function f (x) = 7x + 9, determine whether f (x) is one-to-one. If so, find the... (answered by lwsshak3)

The one-to-one function f is defined below. f(x)=9-x^3 Find f^-1(x), where f^-1 is the (answered by ikleyn)