A fuction`f:RrarrR` defined by`f(x)=(2x-3)/7` .Is f a one-one function?Why?

A fuction f:RrarrR defined by f(x)=(2x-3)/7 . Find f^-1

Let A = R - {-3} and B = R - {1} Consider the function f : A rarr B defined by f(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:ArarrB defined by f(x)=frac(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:ArarrB defined by f(x)=(x-2)/(x-3) .Is it invertible?Why?

A fuction f:RrarrR defined by f(x)=(2x-3)/7 ii.Prove that f is invertible.

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

Show that the function f:RtoR defined by f(x)=2x-3 is one-one and onto. Find f^-1

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

Show that the function f:RrarrR given by f(x)=x+x^3 is a bijective function.

Let the function f:R rarr R be defined by f (x) = 2x + sinx for x in R .Then f is a)one - to - one and onto b)one - to - one but not onto c)onto but not one - to - one d)neither one - to - one nor onto