Home
Class 12
MATHS
If y = f(x) = (x+2)/(x-1) , x ne1 , then...

If y = f(x) = `(x+2)/(x-1) , x ne1` , then show that x = f(y) .

A

x=f(y)

B

f(1)=3

C

y increases with x for `x lt 1`

D

f is a rational function of x

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) = (1)/(2x-1) , x ne (1)/(2) , then show that : f(f(x)) = (2x-1)/(3-2x) , x ne (3)/(2)

If f(x) = (( x + 1))/( ( x - 1)) , then the ratio of x to f(y) where y = f(x) is

If the function f:R rarr R defined by f(x)=(3^(x)+3^(-x)) , then show that f(x+y) = f(x-y) = 2f(x)f(y) .

If y=f(x)=(x+1)/(2x+3), where x ne -(3)/(2) , show that: f(y)=(3x+4)/(8x+11) .

If f(x) = (1)/(1 -x) x ne 1 and g(x) = (x-1)/(x) , x ne0 , then the value of g[f(x)] is :

If f(x)=(x+1)/(x-1), x ne 1 , find f(f(f(f(2)))))

If f(x)=(x+1)/(x-1), x ne 1 , find f(f(f(f(f(2)))))