For all `x in ZZ`, the function `f : ZZ to ZZ` is defined by f(x)=3x+4. Find function `g : ZZ to ZZ` such that (g o f)`=I_(Z)`.

Let the function f:RR rarr RR be defined by , f(x)=4x-3 .Find the function g:RR rarr RR , such that (g o f) (x)=8x-1

Let f:RR rarr RR be the function defined by f(x)=x+1 . Find the function g:RR rarr RR , such that (g o f)(x)=x^(2)+3x+3

Let f:QQ rarr QQ be the function defined by , f(x)=2x+5 , for all x in QQ Find the function g: QQ rarr QQ such that (g o f) =I_(QQ) .

The mapping f:ZZ rarr ZZ defined by , f(x)=3x-2 , for all x in ZZ , then f will be ___

If ZZ be the set of integers, prove that the function f: ZZ rarrZZ defined by f(x)=|x| , for all x in Z is a many -one function.

If the functions of f and g are defined by f(x)=3x-4 and g(x)=2+3x then g^(-1)(f^(-1)(5))

If the functions of f and g are defined by f(x)=3x-4 and g(x)=2+3x then g^(-1)(f^(-1)(5))

Show that the function f:ZZ rarrZZ defined by f(x)=2x^(2)-3 for all x in ZZ , is not one-one , here ZZ is the set of integers.

Let the functions f: RR rarr RR and g: RR rarr RR be defined by f(x)=x+1 and g(x)=x-1 Prove that , (g o f)=(f o g)=I_(RR)