Home
Class 14
MATHS
If f(x)=x, g(x)=sqrt(x^2) and h(x)=x^2/x...

If f(x)=x, g(x)=`sqrt(x^2)` and h(x)=`x^2/x`, then the set of values for which the given functions f(x), g(x) and h(x) are identical is :

A

0 `le x `

B

`0 lt x`

C

All real values

D

All real values except

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 1

    DISHA PUBLICATION|Exercise Multiple Choice Questions|20 Videos

  • NUMBER SYSTEM

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

If f(x)=4x-5,g(x)=x^(2) and h(x)=(1)/(x) , then f(g(h(x))) is :

If f(x)=(x-1)/(x+1), g(x)=1/x and h(x)=-x . Then the value of g(h(f(0))) is:

Let f(x) = e^(x) - x and g (x) = x^(2) - x, AA x in R . Then the set of all x in R where the function h(x) = (f o g) (x) in increasing is :

Let f(x) = 15 -|x-10|, x in R . Then, the set of all values of x, at which the function, g(x) = f(f(x)) is not differentiable, is

Consider f, g and h be three real valued function defined on R. Let f(x)=sin3x+cosx,g(x)=cos3x+sinx and h(x)=f^(2)(x)+g^(2)(x). Then, The length of a longest interval in which the function g=h(x) is increasing, is

Let f(x) =x^(2)-3x+2 g(x)=f(|x|) h(x)=|g(x)| are three functions. The complete set of values of x, for which the equation h(x) + g(x) =0 is satisfied, is

If f@g=g@f, where f(x)=2x+5 and g(x)=3x+h, then: h=

Let f(x) = x^(2) - 5x + 6, g(x) = f(|x|), h(x) = |g(x)| The set of values of x such that equation g(x) + |g(x)| = 0 is satisfied contains

"If "f:R to R, g:R and h:R to R be three functions are given by f(x)=x^(2)-1,g(x)=sqrt(x^(2)+1)and h(x)={{:(,0,x le0),(,x,xgt 0):} Then the composite functions (ho fog) (x)) is given by

DISHA PUBLICATION-MOCK TEST 2 -Multiple Choice Questions
  1. 16 students were writing a test in a class. Rahul made 14 mistakes in ...

    Text Solution

    |

  2. There are 250 integers a(1) , a(2) , .... a(250) not all of them neces...

    Text Solution

    |

  3. The average age of a group of persons going for a picnic is 16.75 year...

    Text Solution

    |

  4. A mixture worth Rs 3.25 per kg is formed by mixing two types of salts,...

    Text Solution

    |

  5. To pass an examination, 40% marks are essential. A obtains 10% marks l...

    Text Solution

    |

  6. The RBI lends a certain amount to the SBI on simple interest for two y...

    Text Solution

    |

  7. A milkman claims to sell milk at its cost price only, but he is making...

    Text Solution

    |

  8. Arvind Singh purchased a 40 seater bus. He started his services on rou...

    Text Solution

    |

  9. A tank of 3600 cum capacity is being filled with water. The delivery o...

    Text Solution

    |

  10. An urgent message had to be delivered from the house of the Peshwas in...

    Text Solution

    |

  11. ABCD is a square, in which a circle is inscribed touching all the side...

    Text Solution

    |

  12. The radius of a cone is √2 times the height of the cone. A cube of max...

    Text Solution

    |

  13. A straight line intersects the x-axis at A and the y-axis at B. AB is ...

    Text Solution

    |

  14. If f(x)=x, g(x)=sqrt(x^2) and h(x)=x^2/x, then the set of values for w...

    Text Solution

    |

  15. If alpha , beta , gamma be the roots of the equation x ( 1+ x^(2)) +...

    Text Solution

    |

  16. The following data was observed from a study of car complaints receive...

    Text Solution

    |

  17. The following data was observed from a study of car complaints receive...

    Text Solution

    |

  18. If log x : log y : log z =(y - z): (z -x): (x - y), then

    Text Solution

    |

  19. Sam has forgotten his friend's seven-digit telephone number. He rememb...

    Text Solution

    |

  20. The probability that a man will live 10 more years is 1/4 and the prob...

    Text Solution

    |