[" Prove that "f:R rarr{x in R:-1

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

Prove that f : R rarr R, f(x)=4x-5 is invertible and find f^-1(x) .

Prove that f:R rarr R,f(x)=cos x is a many one into function.Change the domain and co- domain of f such that f become:

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

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.

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

Prove that the function f: R rarr R defined by f(x) = 2x + 5 is one-one.

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

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

If f:R rarr R is defined by f(x)=2x-3 prove that f is a bijection and find its inverse.