Makakuha ng maliwanag na mga sagot sa iyong mga tanong sa IDNStudy.com. Alamin ang mga maaasahang sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

F(x) =4/x+2 inverse function

Sagot :

How to get inverse function:
Step 1. Change x to f(x) or x to f(x) and vice versa.
Step 2. You will need to derive the function to have f(x) or y in the other side again.

If it is indeed f(x) = 4/x + 2, then the inverse function will be f(x) = 4/(x-2).
Solution:  Let the "f(x)" be "y" here,
x = 4/y+2
x-2 = 4/y
(x-2)/4 = 1/y
4/(x-2) = y therefore the inverse of f(x) 4/x + 2 is f(x) = 4/(x-2).

However, if it is merely a typographical error and intended to be f(x) = 4/(x+2), then the inverse of the function will be f(x) = 4/x - 2
Solution: Let the "f(x)" be "y" here.
x = 4/(y+2)
y+2 = 4/x
y = 4/x - 2 therefore the inverse of f(x) = 4(x+2) is f(x) = 4/x - 2
inverse function means changing x to y
f(x)=4/(x+2)
y=4/(x+2)
x=4/(y+2)
x(y+2)=4
xy+2x=4
xy=4-2x
y=(4-2x)/x
x≠0

Hope this helps =)