Home
Class 14
MATHS
Read the information given below and ans...

Read the information given below and answer the questions that follow :
Any function has been defined for a variable x, where range of `x in (-2, 2)`.
Mark (a) if `F_(1)(x)= -F(x)`
Mark (b) if `F_(1)(x)=F(-x)`
Mark (c ) if `F_(1)(x) = -F(-x)`
Otherwise mark (d).

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DISHA PUBLICATION|Exercise Practice Exercises (Expert Level)|11 Videos
  • FUNCTIONS

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos
  • FUNCTIONS

    DISHA PUBLICATION|Exercise Practice Exercises (Foundation Level)|39 Videos
  • COORDINATE GEOMETRY

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos
  • Fundamentals

    DISHA PUBLICATION|Exercise Test Yourself|15 Videos

Similar Questions

Explore conceptually related problems

Let f:RtoR be defined by f(x)=x/(1+x^2),x inR . Then the range of f is

Let the function f be defined by f(x)=((2x+1)/(1-3x)) then f^(-1)(x) is

Show that the function f defined by f(x)=|1-x+x|, where x is any real number,is a continuous function.

Discuss the continuity of the function f, where f is defined by f(x)={-2, ifxlt=-1 2x , if-1 1

A function f(x) is defined as f(x)=x^2+3 . Find f(0), F(1), f(x^2), f(x+1) and f(f(1)) .

A function f defined by f(x)=In(sqrt(x^(2)+1-x)) is

A function f is defined such that for all real x,y(a)f(x+y)=f(x).f(y)(b)f(x)=1+xg(x) where lim_(x rarr0)g(x)=1 prove that f;(x)=f(x) and f(x)=e^(x)

f (x) is any function and f^(-1)(x) is known as inverse of f (x) , then f^(-1)(x) of f(x)=(1)/(x)+1 is

DISHA PUBLICATION-FUNCTIONS-Practice Exercises (Standard Level)
  1. A function is defined as f(x)=(25)/((x+5)^(2)), then the value of f(x)

    Text Solution

    |

  2. If f(x)=cos(log x), " then " f(x)*f(y)-(1)/(2)[f((x)/(y))+f(xy)] has t...

    Text Solution

    |

  3. The function f(x)="max" {(1-x), (1+x), 2} is equivalent to

    Text Solution

    |

  4. If f(x+y)=f(x)+f(y) -xy -1 for all x, y in R and f(1)=1 then f(n)=n, n...

    Text Solution

    |

  5. If f(s) =(b^(s) +b^(-s))//2, where b gt 0. Find f(s+t) +f(s-t).

    Text Solution

    |

  6. The inverse of f(x)=(10^(x)-10^(-x))/(10^(x)+10^(-x)) is A). (1)/(2...

    Text Solution

    |

  7. Read the information given below and answer the questions that follow ...

    Text Solution

    |

  8. Read the information given below and answer the questions that follow ...

    Text Solution

    |

  9. Read the information given below and answer the questions that follow ...

    Text Solution

    |

  10. Read the information given below and answer the questions that follow ...

    Text Solution

    |

  11. If f(x)=x^(3) -4x +p, and f (0) and f (1) are of opposite signs, then ...

    Text Solution

    |

  12. Let g (x) be a function such that g (x + 1) + g (x - 1) = g (x) for ev...

    Text Solution

    |

  13. f (x) is any function and f^(-1)(x) is known as inverse of f(x), then ...

    Text Solution

    |

  14. If f (x) is a function satisfying f (x). f (1//x) = f (x) + f (1//x) a...

    Text Solution

    |

  15. Following questions are based on the given information for the followi...

    Text Solution

    |

  16. Following questions are based on the given information for the followi...

    Text Solution

    |

  17. Following questions are based on the given information for the followi...

    Text Solution

    |

  18. Following questions are based on the given information for the followi...

    Text Solution

    |

  19. If a = 12, b = 10 and c = 8, then for what value of x, f(x) lt 0?

    Text Solution

    |

  20. If x=10^(y), then the graph of inverse of this function is

    Text Solution

    |