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Find the inverse function f^-1(x) for the one-to-one function?
f(x)=2/x+3
2 Answers
- ?Lv 79 years agoFavorite Answer
I am assuming that f(x) = 2/(x + 3).
In order to find the inverse of a function, let f(x) = y, interchange x and y, and re-solve for y; the resulting function will be the inverse function.
So, letting f(x) = y gives:
y = 2/(x + 3).
Then, interchanging x and y:
x = 2/(y + 3).
Re-solving for y:
x(y + 3) = 2 ==> y = 2/x - 3.
Therefore, f^-1(x) = 2/x - 3.
I hope this helps!
- Anonymous9 years ago
Let y = 2/(x+3)
=> Interchanging y and x:
=> x = 2/(y+3)
=> 2/x = y+3
=> (2/x) - 3 = y
Thus f^-1(x) = (2/x) - 3
Source(s): A Level Math Student
