Home
Class 12
MATHS
If f be greatest integer function define...

If f be greatest integer function defined asf(x)=[x] and g be the mdoulus function defined as g(x)=|x|, then the value of g of `(-(5)/(4))` is _____

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow the definitions of the functions involved. ### Step 1: Identify the functions We have two functions defined: - The greatest integer function \( f(x) = [x] \), which gives the greatest integer less than or equal to \( x \). - The modulus function \( g(x) = |x| \), which gives the absolute value of \( x \). ### Step 2: Substitute the value into the function ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Fill in the blanks 14A|1 Videos
  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Fill in the blanks 14B|1 Videos
  • SAMPLE PAPER 2019

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise Section D|2 Videos
  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos
  • XII Boards

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|255 Videos

Similar Questions

Explore conceptually related problems

Let f:N rarr R be the function defined by f(x)=(2x-1)/2 and g:Q rarr Q be another function defined by g(x)=x+2 then (gof)(3/2) is

If the function f(x)=x^3+e^(x/2) and g(x)=f ^(−1)(x) , then the value of g ′ (1) is

Knowledge Check

  • If f is the greatest integer function defined on R as f(x)=[x] and g is the modulus function defined on R as g(x)=|x| , then the value of (gof)(-(5)/(3)) is

    A
    1
    B
    2
    C
    3
    D
    none of these
  • IF the function g is defined by g(x)=3x+5, what is the value of g(-5)?

    A
    -20
    B
    -10
    C
    20
    D
    60
  • The function g is defined above. What is the value of g (-4x ) ?

    A
    7
    B
    `-12x -5`
    C
    `12x-5`
    D
    `12x ^(2)-20x`
  • Similar Questions

    Explore conceptually related problems

    Let the functions g be defined as g(x)=-3x+6 . If g(6)=r , what is the value of g(r)?

    Prove that the greatest integer function defined by f(x) = [x], 0 < x < 3 is not differentiable at x = 1 and x = 2 .

    Let f : N rarr R be the function defined by f(x) = (2x-1)/(2) and g : Q rarr R be another function defined by g(x) = x + 2. Then (gof) ((3)/(2)) is

    If function f:RtoR is defined by f(x)=sinx and function g:RtoR is defined by g(x)=x^(2), then (fog)(x) is

    A function g(x) is defined as g(x)=-5x^(2) . What is g(-2) ?