`f: R to R` defined by `f(x)=(2x+1)/(3)`, then this function is injection or not? Justify.

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

If f: R to R is defined by f(x) = x^(2)+1 , then show that f is not an injection.

Show that the function f : R to R defined by f(x) = x^(2) AA x in R is neither injective nor subjective.

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

A function f : R to R is defined by f(x) = 2x^(3) + 3 . Show that f is a bijective mapping .

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

Classify f:R rarr R, defined by f(x)=x^(3)+1 as injection,surjection or bijection.

If f:R to R defined by f(x)=(3x+5)/(2) is an invertible function, then find f^(-1)(x) .

Classify f:R rarr R, defined by f(x)=x^(3)-x as injection,surjection or bijection.

The function f:R→R defined by f(x)=(x−1)(x−2)(x−3) is