f:Z rarr Z," defined by "f(x)=x^(2)+x

Find whether the function f: Z rarr Z , defined by f(x) = x^(2) +5, AA x in Z is one-one or not.

Check the injectivity and surjectivity of the following functions f:Zrarr Z defined by f(x)=x^2

f:R rarr R defined by f(x)=x^(2)+5

Which of the following functions has inverse function? f:Z rarr Z defined by f(x)=x+2f:Z rarr Z defined by f(x)=2xf:Z rarr Z defined byy f(x)=xf:Z rarr Z defined by f(x)=|x|

Let Z be the set of integers and the mapping f:Z rarr Z be defined by, f(x):x^2 . State which of the following is equal to f^(-1)(-4) ?

Classify f:Z rarr Z ,defined by f(x)=x-5 as injection,surjection or bijection.

If f:R rarr R is defined by f(x) = x^2 – 3x + 2 , find f(f(x))

Find whether f:Z rarr Z given by f(x)=x^(2)+1 for all x in Z