Home
Class 12
MATHS
Find gof and fog, if f : R ->Rand g : R ...

Find gof and fog, if `f : R ->R`and `g : R ->R`are given by `f(x) = cos x`and `g(x)=3x^2`. Show that `gof!=fog`.

Text Solution

Verified by Experts

The correct Answer is:
(gof) (x) = 3 `cos^(2)x`; (fog) (x) = cos `3x^(2)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (d) (Short Answer Type Questions)|8 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (d) (Long Answer Type Questions (I))|9 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (c) (Short Answer Type Questions)|7 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Find gof and fog, if f:R rarr R and g:R rarr R are given by f(x)=|x| and g(x)=|5x-2|

Find gof and fog when f: R->R and g: R->R is defined by f(x)=x^2+2x-3 and g(x)=3x-4

Find gof and fog when f: R->R and g: R->R is defined by f(x)=x and g(x)=|x|

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

Find gof and gof when f: R->R and g: R->R is defined by f(x)=8x^3 and g(x)=x^(1//3)

Find gof and gof when f: R->R and g: R->R is defined by f(x)=2x+x^2 and g(x)=x^3

Find gof and gof when f: R->R and g: R->R is defined by f(x)=2x+3 and g(x)=x^2+5

If f: R->R , g: R->R are given by f(x)=(x+1)^2 and g(x)=x^2+1 , then write the value of fog\ (-3) .

Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

Let f:R rarr R and g:R rarr R be defined by f(x)=x^(2) and g(x)=x+1. Show that fog != gof