Function is said to be onto if range is same as co - domain otherwise it is into. Function is said to be one - one if for all `x_(1) ne x_(2) rArr f(x_(1)) ne f(x_(2))` otherwise it is many one.
Function `f:R rarr R, f(x)=x^(2)+x`, is

Function is said to be onto if range is same as co - domain otherwise it is into. Function is said to be one - one if for all x_(1) ne x_(2) rArr f(x_(1)) ne f(x_(2)) otherwise it is many one. A function f: [0, oo) defined as f(x)=(x)/(1+x) is

Range of the function f: R rarr R, f(x)= x^(2) is………

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

A function is called one - one if each element of domain has a distinct image of co - domain or for any two or more the two elements of domain, function doesn't have same value. Otherwise function will be many - one. Function is called onto if co - domain = Range otherwise into. Function which is both one - one and onto, is called bijective. answer is defined only for bijective functions. Let f:[a, oo)rarr[1, oo) be defined as f(x)=2^(x(x-1)) be invertible, then the minimum value of a, is

Which of the following function is one-one and onto both? f:R rarr R,f(x)=e^(x)

Find the domain and range of the following function : f: R rarr R , f(x) = 2/(x-2)

Find the domain and range of the following function : f: R rarr R , f(x) =1/(1-x^(2)), x ne pm1

Prove that the function f:R rarr R given by f(x)=2x is one-one and onto.