Question

f(x) =(x/x-1) then f(x/y)/f(y/x)=_____​

Answer 1

Answer:

Step-by-step explanation:

f(x) = (x)/(x-1) =1/y

y = (x-1)/x Eq1

f(y) = (y )/(y-1). Eq2

Sub Eq1 into Eq2

f(y) = (x-1)/x]/[(x-1)/x -1]

f(y) = [(x-1)/x]/ [(x-1-x)/x]

f(y) = (x-1)/(-1)

f(y) =(1-x) is a function of x

f(y) = g(x)

f(-1)is the inverse of f

f(y).f(x) = (1-x)[ x/(x-1)] = -x

- f(-1) f(x) =-x = f(y).f(x)

PLEASE MARK THE BRILLANT