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ALGEBRA EXPERT PLZ: Find the inverse of the following one to one function?
f(x)=2x/3x+4 THE INVERSE FUNCTION OF f(x)is f^-1(x)=
2 Answers
- 8 years agoFavorite Answer
I'm going to assume that the function f(x) is 2x as the numerator and 3x + 4 as the denominator, 'cause otherwise it wouldn't work.
y = 2x
-----------
3x + 4
To find the inverse you switch the domain and the range, so lets substitute x with y and vice versa to get:
x = 2y
-------
3y + 4
Now, solve for your new function (meaning solve for y)
x = 2y + 2y
----- ------
3y 4
x = 2 + 2y
---- -----
3 4
4(x- 2/3) = 2y
4x - (8/3) = 2y
y = 2x - (4/3)
- Anonymous8 years ago
If f(x)=2x/3x+4 that just simplifies to f(x)=2/3+4 which is a constant since its a constant and doesn't depend on x it has no inverse. So f^-1(x) Does Not Exist [DNE]. Perhaps you typed the equation wrong?
Source(s): Math and Physics Major