Home
Class 12
MATHS
f(x)=sinx+cosx+3. find the range of f(x)...

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

Text Solution

Verified by Experts

The correct Answer is:
Range `in [3-sqrt(2),3+sqrt(2)]`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|5 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|18 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

find the range of f(x)=|x+2|-3

Find the range of f(x)=sin(cosx).

Find the range of f(x)=1/(4cosx-3) .

Find the range of f(x) =8/(sinx+3)

Find the range of f(x)=1/(5sinx-6)

f(x)=sinx+int_(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt The range of f(x) is

If f(x)= sin^(-1)x and g(x)=[sin(cosx)]+[cos(sinx)], then range of f(g(x)) is (where [*] denotes greatest integer function)

Let f:[pi,3pi//2] to R be a function given by f(x)=[sinx]+[1+sinx]+[2+ sinx] Then , the range of f(x) is

Let a function f:R to R be defined by f(x)=2x+cosx+sinx " for " x in R . Then find the nature of f(x) .

if f(X) = sinx + cosx , then (f(x) + f(-x ))/(f(x)-f(-x))= ?