Home
Class 12
MATHS
Let f,g: RvecR be two functions defined ...

Let `f,g: RvecR` be two functions defined as `f(x)=|x|+x` and `g(x)=|x|-x` , for all `xRdot` Then find fog and gof.

Text Solution

Verified by Experts

The correct Answer is:
`(fog)(x) = {{:(0", if",x ge 0),(-4x ",", x lt0):}`.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise BINARY OPERATIONS|2 Videos
  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise BINARY OPERATIONS (Long Answer Type Questions )|1 Videos
  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise COMPOSITE FUNCTIONS (Short Answer Type Question-I)|1 Videos
  • PROBABILITY

    OSWAAL PUBLICATION|Exercise Random Variable and Its Probability Distribution ( Long Answer Type Questions -I )|14 Videos
  • SOLVED PAPER MARCH - 2018

    OSWAAL PUBLICATION|Exercise PART - E|3 Videos

Similar Questions

Explore conceptually related problems

Let f,g: RrarrR be two functions defined as f(x)=|x|+x and g(x)=|x|-xAAx in R . Then f(g) (x) for xlt0 is

Let f, g : R rarrR be two functions defined as f(x) = |x| + x and g(x) = | x| - x AA x in R. . Then (fog ) (x) for x lt 0 is

Find fog if f(x)= x-2 and g(x) = 3x

Find gof if f(x)= 8x-2 and g(x) = 2x

Let f:[0.1] rarr[0,1] and g:[0,1] rarr[0,1] be two functions defined by f(x)=(1-x)/(1+x) and g(x)=4 x(1-x) , then f . o g(x)=

Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is :

The domain for which the function defined by f(x) = 3x^2-1 and g(x) = 3+x are equal is

Find gof and fog given f(x) = |x| and g(x) = |5x - 2| .

Let, f: N rarr R be the function defined by f(x) = (2x-1)/(2) and g : Q rarr R be another function defined by g(x) = x+2 Then gof(3/2) is

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof.