Home
Class 12
MATHS
If the function f(x) ={x+1 if x le 1 , ...

If the function `f(x) ={x+1` if `x le 1` , `2x+1` if `1 lt x le 2` and `g(x) = {x^2` if `-1 le x le 2`, `x+2 if 2 le x le 3` then the number of roots of the equation `f(g(x))=2`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=2x(2-x), 0 le x le 2 . Then find the number of solutions of f(f(f(x)))= (x)/(2) .

The number of solution of the equation x^3 + x^2 + 4x + 2 sin x = 0 , 0 le x le 2pi , is

If A = {x: -1 le x le 2} and B= {x:0 lt x le 4} then A nnB is equal to-

If 0 le x le 1, then the minimum value of (x^(2) +x+1) is-

Let f(x)={(0", if"-1 le x lt 0),(1", if "x =0),(2", if "0 lt x le1):} and let F(x)= int_(-1)^(x) f(t) dt, -1 le x le 1 , then

Solve 1 le |x-2| le 3

If f(x) = 2x + |x-x^2|, - 1 lex le1 then f(x) is

If A={x:1 lex le2} and B={ x: 0 lt x le 4} , find A capB

Verify Rolle's theorem for the functions f(x)=(x-1)(x-2)^(2) " in " 1 le x le 2

The function f(x) is defined in 0 le x le1, find the domain of definition of f(x^2)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Let f(x) be real valued and differentiable function on R such that f(x...

    Text Solution

    |

  2. Consider f" ":" "{1," "2," "3}->{a ," "b ," "c} given by f(1)" "=" "a ...

    Text Solution

    |

  3. If the function f(x) ={x+1 if x le 1 , 2x+1 if 1 lt x le 2 and g(x) =...

    Text Solution

    |

  4. f(x)=sin[x]+[sin x],0 < x < pi/2 (where [.] represents the greatest in...

    Text Solution

    |

  5. If the function f:(1,oo)rarr(1,oo) is defined by f(x)=2^(x(x-1)),t h e...

    Text Solution

    |

  6. For non-negative integers ma n dn a function is defined as follows: f...

    Text Solution

    |

  7. If varphi(x)=1/(1+e^(-x)) and S=varphi(5)+varphi(4)+varphi(3)+...+varp...

    Text Solution

    |

  8. If f and g are two functions defined on N , such that f(n)= {{:(2n-...

    Text Solution

    |

  9. If g(x)=(4cos^4x-2cos2x-1/2cos4x-x^7)^(1/7) then the value of g(g(100)...

    Text Solution

    |

  10. Consider a differentiable function f:R->R for which f'(0)=ln2 and f(x...

    Text Solution

    |

  11. If f: R->R is a function satisfying f(x+y)=f(x y) for all x ,y in R a...

    Text Solution

    |

  12. Suppose that f(x)f(f(x))=1 and f(1000)=999 then which of the following...

    Text Solution

    |

  13. Suppose that f(x) isa quadratic expresson positive for all real xdot I...

    Text Solution

    |

  14. The graph of a function fx) which is defined in [-1, 4] is shown in th...

    Text Solution

    |

  15. If sets A= (-3,2] and B= (-1, 5] then find the following sets : AnnB

    Text Solution

    |

  16. Find the value of x^2 for the given values of xdot (i)x<2 (ii) x > -...

    Text Solution

    |

  17. Find all possible values of the following expressions : sqrt(x^(2)-...

    Text Solution

    |

  18. Find the value of 1//x for the given values of xdot x >3 (ii) x<-2 (i...

    Text Solution

    |

  19. Find all the possible values of the following expressions: 1/(x^2+2) (...

    Text Solution

    |

  20. Find the values of x for which expression sqrt(1-sqrt(1-sqrt(1-x^(2))...

    Text Solution

    |