Home
Class 12
MATHS
Let f:RtoR be the function defined by f(...

Let `f:RtoR` be the function defined by `f(x)=(1)/(2-cosx) AA x in R`. Then, find the range of f.

Text Solution

Verified by Experts

The correct Answer is:
`[(1)/(3),1]`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Short answer type question|25 Videos
  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Long answer type question|13 Videos
  • SAMPLE PAPER 4

    ARIHANT PUBLICATION|Exercise Long Answer Type Questions|13 Videos
  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Chapter Practice|34 Videos

Similar Questions

Explore conceptually related problems

If f:RrarrR be a function defined by f(x)=cos(5x+2), then f is

Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) = |x| -x AA x in R. Then find fog and gof .

Write the domain of the function defined by f(x)= sin^(-1)x+cosx

Let f : R rarr R be defined by f (x) = (x)/(sqrt(1+x^(2))) AA x in R . Then find ( fofof ) (x) . Also show that fof ne f^(2) .

If A = R -{3} and B = R -{1}. Consider the function f:A to B defined by f(x)=(x-2)/(x-3) , for all x in A . Then, show that f is bijective. Find f^(-1)(x) .

If f:R to R is the function defined by f(x)=4x^(3) +7 , then show that f is a bijection.

Let f : R to R be a function given by f (x) = ax + b for all x in R. Find the constants a and b such that fof =I_(R).