Prove that the function `F : NvecN ,` defined by `f(x)=x^2+x+1` is one-one but not onto.

Prove that the function f:N rarr N, defined by f(x)=x^(2)+x+1 is one-one but not onto

Prove that function f:NrarrN , defined by f(x)=x^(2)+x+1 is one-one but not onto. Find inverse of f:NrarrS , where S is range of f.

Consider the following statements : 1. A function f:Z to Z , defined by f(x) = x+1 , is one-one as well as onto. 2. A function f:N to N , defined by f(x) = x +1 , is one-one but not onto. Which of the above statements is/are correct?

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

Show that the function f:N rarr N, given by f(x)=2x, is one-one but not onto.

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

The function f:xtoY defined by f(x)=x^(2)-4x+5 is both one-one and onto if

Let X and Y be subsets of R, the set of all real numbers.The function f:X the rarr Y defined by f(x)=x^(2) for x in X is one-one but not onto if

Prove that the function f:N rarr N so that f(x)=2x^(2)-1 is one-one but not onto.

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