Home
Class 12
MATHS
If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2,...

If `f(x)=1/x ,g(x)=1/(x^2),` and `h(x)=x^2`, then
(A) `f(g(x))=x^2,x!=0,h(g(x))=1/(x^2)`
(B) `h(g(x))=1/(x^2),x!=0,fog(x)=x^2`
(C) `fog(x)=x^2,x!=0,h(g(x))=(g(x))^2,x!=0`
(D) none of these

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

If f(x)=sinx, g(x)=x^2 and h(x)=log x, find h[g{f(x)}].

If f(x)=e^(x+a),g(x)=x^(b^2)and h(x)=e^(b^2x), find the value of (g[f(x)])/(h(x)).

If f(x)=1+x^2 and [g(x)]=1+x^2-2x^3+x^4, g(2)=2 , then

f(x)=e^x.g(x) , g(0)=2 and g'(0)=1 then f'(0)=

If f(x)=e^(x+a) , g(x)=x^(b^2) and h(x)=e^(b^2x) ,show that (g[f(x)])/(h(x))=e^(ab^2)

If g(x)=x^(2)+x-2 and (g o f)(x)=2(2x^(2)-5x+2) , then f(x)=

If f(x) = e^(x + a) , g(x) = x^(b^2) and h(x) = e^(b^2 x) , then find the value of (g{f(x)})/(h(x))

Let f(x)=sinx,g(x)=x^2 and h(x) = log x. If F(x)=(h(f(g(x)))) , then F'(x) is:

If f(x)=x+1,g(x)=x^2+1 , then (f+g)/(fg) (0) =?

If f(x)=(e^(x))/(g(x)),g(0)=6,g'(0)=2 , then f'(0) is

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the set of real value(s) of a for which the equation |2x+3|+|2x-...

    Text Solution

    |

  2. Which of the following function/functions is/are periodic ? (a) sgn(...

    Text Solution

    |

  3. If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2, then (A) f(g(x))=x^2,x!=...

    Text Solution

    |

  4. Find the domain of the function f(x)=1/(1+2sinx)

    Text Solution

    |

  5. Find the period (if periodic) of the following function : f(x)=(|sinx+...

    Text Solution

    |

  6. Find the range of f(x)=sqrt(1-sqrt(x^2-6x+9))

    Text Solution

    |

  7. The value of sum(r=1)^(2000) {{x+r}}/2000 is

    Text Solution

    |

  8. Find the period (if periodic) of the following function ([.] denotes ...

    Text Solution

    |

  9. Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Th...

    Text Solution

    |

  10. Solve: |-2x^2+1+e^x+sinx|=|2x^2-1|+e^x+|sinx|,x in [0,2pi].

    Text Solution

    |

  11. Let [x] denotes the greatest integer less than or equal to x . If the ...

    Text Solution

    |

  12. The domain of the function f(x)=sin^(-1){(log)2(x^2)/2} is given by

    Text Solution

    |

  13. Solve |sinx+cosx|=|sinx|+|cosx|,x in [0,2pi].

    Text Solution

    |

  14. Which of the following functions is not periodic? (a)|sin3x|+sin^2x ...

    Text Solution

    |

  15. Find the number of solutions of sinx=x/(10)

    Text Solution

    |

  16. Let f(x)=e^({e^(|x|sgnx)})a n dg(x)=e^([e^(|x|sgnx)]),x in R , where ...

    Text Solution

    |

  17. Column I: Function, Column II: Period f(x)="cos"(|sinx|-|cosx|) , p...

    Text Solution

    |

  18. Solve sinx gt - (1)/(2) or find the domain of f(x)=(1)/(sqrt(1+2sin x...

    Text Solution

    |

  19. The domain of the function f(x)=x/(sqrt(sin(lnx)-cos(lnx))),(n in Z) ...

    Text Solution

    |

  20. If f(a-x)=f(a+x) " and " f(b-x)=f(b+x) for all real x, where a, b (a g...

    Text Solution

    |