[" The function "f:R rarr R" defined by "f(x)=(x-1)(x-2)(x-3)" ."],[" Check the function "f" is one-one and onto or not."]

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:R to R is defined by f(x)=2x^(2) . Is the function 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 f(x)=((x-2)/(x-3)) .Is f one-one and onto? Justify your answer.

Show that the function f : R rarr R defined by f(x) = ((2x-1)/3) : x in R is one-one and onto. Also find the inverse of 'f'.

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.

Is the function f:R rarr R be defined by f(x)=2x+3 a one on one function?

Show that the function f: R rarr R defined by f(x) = (3x-1)/2, x in R is one-one and onto function.

Show that the function f : R rarr { x in R : -1 lt x lt 1} defined by f (x) = (x)/(1+|x|), x in R is one - one and onto function.