Home
Class 12
MATHS
Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),...

Let `g(x)=1+x-[x]` and `f(x)={:{(-1","x<0),(0","x=0),(1","x>0):}`
Then for all x,f(g(x)) is equal to :

A

x

B

1

C

f(x)

D

g(x)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL -II)|43 Videos

  • FUNCTIONS

    MODERN PUBLICATION|Exercise LATEST QUESTION FOR AIEEE/JEE EXAMINATIONS|4 Videos

  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos

  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x^(3)-(1)/(x^3) , then f(x)+f((1)/(x)) is equal to :

If f and g are continuous functions in [0,1] satisfying f(x) = f(a - x) and g(x) + g(a - x) = a , then int_0^a f(x). g(x) dx is equal to :

If f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3))/(1+3x^(2)) , then f(g(x)) is equal to :

If f(x) = ax+b and g(x) = cx+d then f(g(x)) = g(f(x)) is equivalent to

Let f be function satisfying f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x) , for all x and y, where g(x) is a continuous function. Then f'(x) is :

If g is the inverse of a function f and f'(x)=(1)/(1+x^(5)) , then g'(x) is equal to :

If f(x+y)=f(x)f(y) and f(x)=1+"xg(x) G(x)" , where lim_(xto0)g(x)=a and lim_(xto0)" G(x)=b . Then f'(x) is equal to :

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

Let f(x)=0 if xlt0,f(x)=x^(2) if xge0 , then for all x: