If a function `f: R to R ` is defined as `f(x)=x^(3)+1`, then prove that f is one-one onto.

If R is the set of real numbers and a function f: R to R is defined as f(x)=x^(2), x in R , then prove that f is many-one into function.

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

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

Let a function f:R rarr R be defined by f(x) = 3 - 4x Prove that f is one-one and onto.

A function f:R to R is defined by f(x)=4x^(3)+5x in R . Examine if f is one - one and onto.

If R is the set of real numbers then prove that a function f: R to R defined as f(x)=(1)/(x), x ne 0, x in R, is one-one onto.

If R is the set of real numbers then prove that a function f: R to R defined as f(x)=(1)/(x), x ne 0, x in R, is one-one onto.

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

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

If f : R rarrR be defined by f(x) = 5x - 3, then prove that f is one-one and onto and find a formula for f^(-1)