SOLUTION: f(x)=3 Sqrt 3x-4
inverse function is f^-1(x)=
Domain of f
Range of f
Domain of f^-1
Range of f^-1
Algebra.Com
Question 518618: f(x)=3 Sqrt 3x-4
inverse function is f^-1(x)=
Domain of f
Range of f
Domain of f^-1
Range of f^-1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
f(x)=3 Sqrt(3x-4)
inverse function is f^-1(x)=
Domain of f
Range of f
Domain of f^-1
Range of f^-1
**
y=3√(3x-4)
interchange x and y
x=3√(3y-4)
x/3=√(3y-4)
square both sides
x^2/9=3y-4
3y=x^2/9+4
y=x^2/27+4/3=(x^2+36)/27
f^-1(x)=(x^2+36)/27
..
Checking radican:
3x-4≥0
3x≥4
x≥4/3
Domain of f: [4/3,∞)
Range of f: [0,∞)
..
Domain of f^-1: (0,∞)
Range of f^-1: [4/3,∞)
RELATED QUESTIONS
Given : f(x)=2x^2+2
1. Find the domain of f(x).
2. Find the range of... (answered by josgarithmetic)
f(x)=(x-1)/(x+1).Find f^(-1), domain of f and range of f
(answered by josgarithmetic)
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)
please give the range and domain of this function... (answered by venugopalramana)
please give me the domain & range of this function
f(x)=... (answered by venugopalramana)
The function f is one-to-one, find its inverse and determine the domain and range of both (answered by stanbon)
The function f is one-to-one. Find its inverse. State the domain and range of both the... (answered by Tatiana_Stebko)
Find the inverse function of f(x)=sqrt (x-3)
Specify the domain for f-1 (x).
f-1 (x)=
(answered by MathLover1,Theo)
for the one-to-one function f(x)= 2/x-4
Find the inverse f^-1
Find the domain and range (answered by mickclns)