Home
Class 12
MATHS
For all x in ZZ, the function f : ZZ to ...

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)`.

Text Solution

Verified by Experts

The correct Answer is:
The function `g : ZZ to ZZ` is given by g(x)`=(1)/(3)(x-4)` for all `x in ZZ`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f : R to R be defined as f (x) =10 x +7. Find the function g : R to R such that g o f =f 0 g= 1 _(R).

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) .

Let the function f:RR rarr RR and g:RR be defined by f(x) = sin x and g(x)=x^(2) . Show that, (g o f) ne (f o g) .

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

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

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.

Let the function f:RR rarr RR be defined by , f(x)=3x-2 and g(x)=3x-2 (RR being the set of real numbers), then (f o g)(x)=

Find the inverse of the function: f:Z to Z defined by f(x)=[x+1], where [.] denotes the greatest integer function.