If `f: Z->Z` be defined by `f(x)=2x` for all `x in Z` . Find `g: Z->Z` such that `gof=I_Z` .

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

Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=I_Z .

Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=I_Z .

Let f: Z->Z be defined by f(x)=x+2. Find g: Z->Z such that gof=I_Z .

Show that the function f: Z->Z defined by f(x)=x^2 for all x in Z , is a function but not bijective function.

Show that the function f:Z rarr Z defined by f(x)=x^(2)+x for all x in Z, is a many one function.

Show that the function f:Z rarr Z defined by f(x)=x^(2)+x for all x in Z, is a many-one function.

If f: Z to Z be given by f(x)=x^(2)+ax+b , Then,

If f: Z to Z be given by f(x)=x^(2)+ax+b , Then,

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