" Qestion "f:R-{3}rarr R" defined by "f(x)=(x-2)/(x-3)" is one-one but not onto "

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: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) = (3x-1)/2, x in R is one-one and onto function.

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

Show that the function f: R rarr R defined by f(x) = (4x-3)/5, x in R is one one and onto function.

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

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

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)). Show that f is one-one and onto and hence find f^(-1)

Show that the function f:R rarr R defined as f(x)=x^(2) is neither one-one nor onto.