Home
Class 12
MATHS
Let f:RRtoRR be defined by f(x)=-x^3+x,g...

Let `f:RRtoRR` be defined by `f(x)=-x^3+x,g:[-1,1] to RRand h:[-1,1] to RR` is defined by g(x) = min(fx),0), h(x) = max(f(x),0)
Number of roots of the `g(x)=-(1)/(2)` is____

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Assertion Type|2 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Matrix Match Type|2 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Let f:RRtoRR be defined by f(x)=-x^3+x,g:[-1,1] to RRand h:[-1,1] to RR is defined by g(x) = min(fx),0), h(x) = max(f(x),0) f:RR to RR will be___

Let f:RRtoRR be defined by f(x)=-x^3+x,g:[-1,1] to RRand h:[-1,1] to RR is defined by g(x) = min(fx),0), h(x) = max(f(x),0) Range of g(x) will be____

Let f:RRtoRR be defined by f(x)=-x^3+x,g:[-1,1] to RRand h:[-1,1] to RR is defined by g(x) = min(fx),0), h(x) = max(f(x),0) Which one will be both the odd and even function ?

Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2 , then find (g circ f)(-1)

Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2 , then find (f circ g)(-1)

Let f:RR to RR be defined as f(x)=(x^2-x+4)/(x^2+x+4). Then the range of the function f(x) is____

Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2 , then find (g circ f)^(-1)(x)

Let f:R to R and g:R to R is define by f(x)=2x+3 and g(x)=3x-2 , then find (f circ g)^(-1)(x)

Let RR be the set of real numbers and the functions f: RR to RR and g : RR to RR be defined by f(x ) = x^(2)+2x-3 and g(x ) = x+1 , then the value of x for which f(g(x)) = g(f(x)) is -