A function `f:RrarrR` be defined by f(x) = 5x + 6, prove that f is one-one and onto.

Let f:RrarrR be defined as f(x)=2x .

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

A function f:RrarrR is defined by f(x)=4x^(3)+5,x inR . Examine if f is one-one and onto.

Show that the function f : R rarr R defined by f(x) = cos (5x+3) is neither one-one not onto.

Examine the function f:R rarr R be defined by f(x)=3-4x is one one,onto and one one onto.

A function f: R to R is defined as f(x)=4x-1, x in R, then prove that f is one - one.

Let f:RrarrR be defined as f(x)=3x . Then :

Let the function f:R rarr R be defined by f(x)=2x+sin x 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

Let f:RrarrR be defined as f(x)=x^(4) . Then :

Show that the function f:RrarrR given by : f(x)=ax+b , where a, binR, ane0 one one and onto.