Home
Class 12
MATHS
Consider the function f(x)=sqrt(2-x)+sqr...

Consider the function `f(x)=sqrt(2-x)+sqrt(1+x)`. If `d` denotes the number of integers in the domain of `f` and `' r` ' denotes the number of integers in the range of `f`, then `(d+r)` equals

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    CENGAGE|Exercise Comprehension Type|7 Videos

  • EQUATION OF PLANE AND ITS APPLICATIONS -II

    CENGAGE|Exercise DPP 3.4|18 Videos

  • GETTING STARTED WITH GRAPHS

    CENGAGE|Exercise Exercise|18 Videos

Similar Questions

Explore conceptually related problems

consider the functions f(x) = sqrt(x-2) , g(x) = ( x+1)/( x^2 -2x +1) domain of f

The domain of the function f(x) = sqrt( x^2 +1) is

consider the functions f(x) = sqrt(x-2) , g(x) = ( x+1)/( x^2 -2x +1) domain of g

Consider the real function f(x ) = ( x+2)/( x-2) find the domain and range of the function

The range of function f(x)=sin^(-1)(x-sqrt(x)) is equal to

The range of the function f(x)=(x)/(1+x^2),x in R , is

Find the domain of the function f(x)=sqrt(1+sqrt(1-sqrt(1-x^(2))))

The number of integers in the domain of function, satisfying f(x)+f(x^(-1))=(x^3+1)/x ,i s_____

The number of integers in the domain of function, satisfying f(x)+f(x^(-1))=(x^3+1)/x ,i s_____

The function f(x)=(tan |pi[x-pi]|)/(1+[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

CENGAGE-FUNCTIONS-Question Bank
  1. Let f: R rarr R be a polynomial function satisfying f(f(x) -2 y)=2 x-3...

    Text Solution

    |

  2. Let P(x)=x^4+a x^3+b x^2+c x+d be a polynomial such that P(1)=1, P(2)=...

    Text Solution

    |

  3. A function f(x) is such that f(x)=0 has 8 distinct real roots and f(4+...

    Text Solution

    |

  4. The number of integral values of x satisfying the equation sgn([15/(1+...

    Text Solution

    |

  5. Let f(x)=(1-c x)/(1-c^2) . If f(x) gt 0 for évery x greater than zero....

    Text Solution

    |

  6. Let g:[-2,2] rarr R, where g(x)=x^(2015)+sgn(x)+[(x^2+1)/p] be an odd ...

    Text Solution

    |

  7. If f(x)=|x+2|+|2 x-p|+|x-2| attains its minimum value in the interval ...

    Text Solution

    |

  8. Let the function f: R rarr R be defined as f(x)=min .(x+2,4-2 x, 1+4 x...

    Text Solution

    |

  9. Let f: R rarr R be defined as f(x)=2 x^3+7 x-5 and g(x)=f^-1(x). If g^...

    Text Solution

    |

  10. If f(x)= 3 sqrt((9)/(log2 (3-2x) - 1) then the value of ' a ' which sa...

    Text Solution

    |

  11. Consider the function f(x)=sqrt(2-x)+sqrt(1+x). If d denotes the numb...

    Text Solution

    |

  12. If f(x, y)=(max (x, y))^(min (x, y)) and g(x, y)=max (x, y) -min (x, y...

    Text Solution

    |

  13. The number of solution of the equation e^(2 x) + e^x+e^-(2 x)+ e^(-x...

    Text Solution

    |

  14. Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integ...

    Text Solution

    |

  15. Let f:R->R be a continuous function such that|f(x)-f(y)|>=|x-y| for a...

    Text Solution

    |

  16. Let the equation (a-1) x^2=x(2 b+3) be satisfied by three distinct val...

    Text Solution

    |

  17. f(x) = (2x^(2) + 3)/(5), for oo lt x le 1 = 6 -5x, for 1 lt x lt 3 ...

    Text Solution

    |

  18. Let f(x)=x/(1-x) and ' a ' be a real number. If x0=a, x1=f(x0) , x2=f(...

    Text Solution

    |

  19. If the largest positive value of the function defined as f(x)=sqrt(8 x...

    Text Solution

    |

  20. If range of function f(x)=sin^(-1)x+2tan^(-1)x+x^2+4x+1 is [p , q], th...

    Text Solution

    |