Home
Class 12
MATHS
Indicate all correct alternatives if, f(...

Indicate all correct alternatives if, `f(x) = x/2-1`, then on the interval `[0, pi]`

A

`tan(f(x))` & `1/(f(x))` are both continous

B

`tan(f(x))` & `1/(f(x))` are both discontinous

C

`tan(f(x))` & `f^(-1)(x)` are both continous

D

`tan (f(x))` is continous but `1/(f(x))` is not

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    MOTION|Exercise EXERCISE -2 (LEVEL -II) IVT|1 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE -2 (LEVEL -II) SINGLE POINT DISCONTINUITY|1 Videos
  • CONTINUITY

    MOTION|Exercise EXERCISE -2 (LEVEL -I) (IDENTIFYING UNKNOWN CONSTANT USING THE CONCEPT OF CONTINUITY)|2 Videos
  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos
  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

Similar Questions

Explore conceptually related problems

If f (x) = 1/2 x - 1 , then on the interval [0, pi]

The maximum value of f(x) =2 sin x + sin 2x , in the interval [0, (3)/(2)pi] is

Find the maximum and minimum values of f(x)=x+sin2x in the interval [0,2 pi]

Verify Rolle's Theorem for the function : f(x) = sin x + cos x in the interval [0,2pi]

Verify Rolle's theorem for the following functions in the given intervals. f(x) sin x in the interval [ 0, pi] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sinx + cos x in the interval [0 , pi//2] .