Let A = R – {3} and B = R – {1}. Consider the function f : A → B defined by f(x) =x−2 by x- 3. Is f one-one and onto? Justify your answer.

Let A = R - {3} and B = R - {1} . Consider the function f: A->B defined by (x)=((x-2)/(x-3)) . Is f one-one and onto? Justify your answer.

Let A = R - {3} and B = R - {1}, consider the function f A rarr B defined by =((x-2)/(x-3)) Show that f'is one-one and onto and hence find/

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

Let f : R rarr R be defined by f(x) = cos (5x+2). Is f invertible? Justify your answer.

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

Show that the function f:NtoN defined by f(x)=2x-1 is one-one but not onto.

Consider a function f:R rarr R defined by f(x)=x^(3)+4x+5 , then

Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f(x)=((x-2)/(x-3))dot Show that f is one-one and onto and hence find f^(-1)

Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f(x)=((x-2)/(x-3))dot Show that f is one-one and onto and hence find f^(-1)

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