SOLUTION: Find the inverse function of f. State the domain and range of f. f(x) = (3x-2)/(x+5)

Question 60237: Find the inverse function of f. State the domain and range of f.
f(x) = (3x-2)/(x+5)
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Find the inverse function of f. State the domain and range of f.
The demoninator cannot = 0, so x+5 cannot =0, x cannot =-5. Therefore the domain is that x is all real numbers except -5.
To find the inverse, let f(x)=y
Now switch your x and y and solve for y.

f^(-1)(x)= <-- this is the inverse function.
The range is anything that doesn't make the inverse undefined: y can be all real numbers except y cannot = 3.
Happy Calculating!!!
RELATED QUESTIONS
Find the inverse function of f. State the domain and range of f.... (answered by lynnlo)

Given f(x)=-3x^2+5 a) Graph f and its inverse. b)Determine the equation of the... (answered by josgarithmetic)

Given f(x)=-3x^2+5 (a) graph f and its inverse b) Determine the equation of the... (answered by josgarithmetic)

The function f is one-to-one. Find its inverse. State the domain and range of both the... (answered by Tatiana_Stebko)

f(x)=2x+4 find the inverse function, domain and range of inverse function (answered by stanbon)

Given the equation of the function f(x)=(x-3)^2-5 a)Determine the equation of the... (answered by josgarithmetic)

find the inverse function g of the given function and state the domain and range of g... (answered by edjones)

Given : f(x)=2x^2+2 1. Find the domain of f(x). 2. Find the range of... (answered by josgarithmetic)

Find the inverse of this function, and state the domain and range of both the original... (answered by venugopalramana)