Home
Class 12
MATHS
Let g(x)=sqrt(x-2k),AA2klt=x<2(k+1), whe...

Let `g(x)=sqrt(x-2k),AA2klt=x<2(k+1),` where `k in ` integer. Check whether `g(x)` is periodic or not.

A

`g(x)=sqrt(x+2),-2 le x lt 0`

B

`g(x)=sqrt(x-2), 2le x lt4`

C

`g(x)=sqrtx, 0lexlt2`

D

period of g(x) is 2.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|8 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|9 Videos

  • FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise FUNCTION EXERCISE 8:Questions Asked in Previous 10 Years Exams|1 Videos

  • HYPERBOLA

    ARIHANT MATHS ENGLISH|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

Similar Questions

Explore conceptually related problems

Let f (x) =x + sqrt(x^(2) +2x) and g (x) = sqrt(x^(2) +2x)-x, then:

Let f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1)-1).x then

let f(x)=sqrt(1+x^2) then

Let f(x)=sqrt(6-x),g(x)=sqrt(x-2) . Find f+g,f-g,f.g and f/g.

Let f(x)="min"{sqrt(4-x^(2)),sqrt(1+x^(2))}AA,x in [-2, 2] then the number of points where f(x) is non - differentiable is

Let f(x)=sqrt(x^(2)-4x) and g(x) = 3x . The sum of all values for which f(x) = g(x) is

Let f (x) = (x+5)/(sqrt(x^(2) +1) ) , then the smallest integral value of k for which f (x) le k AA x in R is

Let g (x )=f ( x- sqrt( 1-x ^(2))) and f ' (x) =1-x ^(2) then g'(x) equal to:

Let f(x)=-4.sqrt(e^(1-x))+1+x+(x^(2))/(2)+(x^(3))/(3) . If g(x) is inverse of f(x) then the value of (1)/(g^(')(-(7)/(6))) is

If f(x) = sqrt(2-x) and g(x) = sqrt(1-2x) , then the domain of fog (x) is