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

Show that the function f: N->N , given by f(x)=2x , is one-one but not onto.

Show that the function f: N->N , given by f(x)=2x , is one-one but not onto.

The function f:R to R given by f(x)=x^(2)+x is

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

Prove that the function f: N->N , defined by f(x)=x^2+x+1 is one-one but not onto.

Prove that the function f: N->N , defined by f(x)=x^2+x+1 is one-one but not onto.

Prove that the function F : NtoN , defined by f(x)=x^2+x+1 is one-one but not onto.

Prove that the function f:N to N , defined by f(x)=x^(2)+x+1 is one-one but not onto.

Prove that the function f : R to R defined by f(x)= 2x+ 7 , is invertible. Hence find f^(-1)

Show that the exponential function f: R to R , given by f(x)=e^x , is one-one but not onto. What happens if the co-domain is replaced by R_0^+ (set of all positive real numbers).