If R is the set of real numbers prove that a function `f: R -> R,f(x)=e^x , x in R` is one to one mapping.

If R is the set of real numbers prove that a function f:R rarr R,f(x)=e^(x),x in R is one to one mapping.

If R is the set of real numbers then prove that a function f: R to R defined as f(x)=(1)/(x), x ne 0, x in R, is one-one onto.

If R is the set of real numbers then prove that a function f: R to R defined as f(x)=(1)/(x), x ne 0, x in R, is one-one onto.

If R is the set of real numbers and a function f: R to R is defined as f(x)=x^(2), x in R , then prove that f is many-one into function.

If R denotes the set of all real number,then the function f:R to R defined f(x) = |x| is :

Prove that the function f : R ->R , given by f (x) = 2x , is one-one and onto.

Prove that the function f: R to R, given by f (x) =2x, is one-one and onto.

Prove that the function f: R to R, given by f (x) =2x, is one-one and onto.

Prove that the function f: R to R, given by f (x) =2x, is one-one and onto.

Prove that the function f: R to R, given by f (x) =2x, is one-one and onto.