Home
Class 12
MATHS
Let f: RrarrR be defined f(x) = sin x ...

Let `f: RrarrR` be defined f(x) = sin x and g: `RrarrR` be defined by `g(x) = x^2` , Find fog .

A

`x^2 sin x`

B

`(sinx)^2`

C

`sinx^2`

D

`(sinx)/x^2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION II) (SHORT ANSWER TYPE QUESTIONS)|6 Videos
  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE) (SECTION III) |7 Videos
  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES (SECTION V) |9 Videos
  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Let f : R rarr R be defined by f(x) = 3x - 2 ad g : R rarr R be defined by g(x) = (x+2)/(3) . Shwo that fog = I_R = gof

If f: RrarrR is defined by f(x) = 3x +2 , find f(f(x))

If the function f: RrarrR given by f(x) =x^(2) +3x +1 and g : R rarr R he given by g(x) = 2x -3 find fog

If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be given by g(x) =x/(x-1) find fog

If the function f: RrarrR given by f(x) =x^(2) +3x +1 and g : R rarr R he given by g(x) = 2x -3 find gof

If the function f : R rarr R given by f(x) = x^2 +2 and g RrarrR be given by g(x) =x/(x-1) find gof

Let f: RrarrR be defined by f (x) = 2x - 3 then find f^(-1)(x) .

Let f : RrarrR be defined as f (x) = 3x Choose the correct answer.

If f, g: Rrarr R are defined by f(x) = x^2 + 3x+1,g(x) = 2x – 3 then find fog .