Let A={x in R:x" is not a positive integ...

Let `A={x in R:x" is not a positive integer "}`define a function `f:A to R" such that "f(x)=(2x)/(x-1)`. Then f is

A

neither injective nor surjective

B

Not injective

C

Surjective but not injective

D

Injective but not surjective

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Let A={xinR:x" is not a positive integer "} define a function f:AtoR" such that "f(x)=(2x)/(x-1) . Then f is

Let the funciton f:R to R be defined by f(x)=2x+sin x . Then, f is

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

Let A=(x in R: x ge 1) . The inverse of the function of f:A to A given by f(x)=2^(x^((x-1)) . Is

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

The function f:R rarr R is defined by f(x)=(x-1)(x-2)(x-3) is

Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is