Home
Class 12
MATHS
Consider the real-valued function satisf...

Consider the real-valued function satisfying `2f(sinx)+f(cosx)=xdot` then the domain of `f(x)i sR` domain of `f(x)i s[-1,1]` range of `f(x)` is `[-(2pi)/3,pi/3]` range of `f(x)i sR`

Text Solution

Verified by Experts

The correct Answer is:
Domain `in` [-1,1] and range `in [(-2pi)/3,pi/3]`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 11|2 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 12|4 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 9|10 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Consider the real-valued function satisfying 2f(sin x)+f(cos x)=x .then the (a)domain of f(x) is R (b)domain of f(x)is[-1,1] (c)range of f(x) is [-(2 pi)/(3),(pi)/(3)]( d)range of f(x) is R

Consider the function y=f(x) satisfying the condition f(x+(1)/(x))=x^(2)+1/x^(2)(x!=0) Then the domain of f(x) is R domain of f(x) is R-(-2,2) range of f(x) is [-2,oo] range of f(x) is (2,oo)

Consider a real-valued function f(x)= sqrt(sin^-1 x + 2) + sqrt(1 – sin^-1x) then The domain of definition of f(x) is

For Real valued function f(x)=|x-3| then the value of domain and Range is?

Write the domain and range of the function f(x)=[x]

Find the domain and range of f(x)=|x-1|

The graph of a function fx which is defined in [-1,4] is shown in the adjacent figure.Identify the correct statement(s).(1) domain of f(|x|)-1)is[-5,5](2) range of f(|x|+1) is [0,2](3) range of f(-|x|) is [-1,0](4) domain of f(|x|)is[-3,3]

The range of f(x)=sin^(3)x in domain [-(pi)/(2),(pi)/(2)] is

f(x)=sinx+cosx+3 . find the range of f(x).

Find the domain and range of the following function f(x)=1/x