Home
Class 11
MATHS
If f(x)=x^(2) , then evaluate : (f(x+1)-...

If `f(x)=x^(2)` , then evaluate : `(f(x+1)-f(x-1))/(4x)`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2D|18 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2E|5 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 2B|14 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|32 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(x)/(x-1) , then evaluate : (f(a//b))/(f(b//a))

If f(x)=cos(logx), then value of f(x) f(4)-1/2{f(x/4)+f(4x)} is (a) 1 (b) -1 (c) 0 (d) +- 1

Ilf f(x)={x^3, x 2 , then find the value of f(-1)+f(1)+f(3) . Also find the value (s) of x for which f(x)=2.

If f(x)=(x-4)/(2sqrt(x)) , then find f'(1)

If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=1/(f(x))

If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=-1/(f(x))

If f(x)=(4^(x))/(4^(x)+2) , then show that f(x)+f(1-x)=1

If f(x)=4x-x^2, x in R , then write the value of f(a+1)-f(a-1)dot

If f(x)= {4 - (x-7)^(3)} , then find f^(-1)(x)=

If f(x)=x^2+x+1 , then find the value of 'x' for which f(x-1) =f(x)

NAGEEN PRAKASHAN ENGLISH-RELATIONS AND FUNCTIONS-Exercise 2C
  1. If f(x)=2x-5 , then evaluate the following: (i) f(0) (ii) f(7) (...

    Text Solution

    |

  2. If f(x)=x^(2), then evaluate: (f(1*2)-f(1))/(1*2-1)

    Text Solution

    |

  3. If f(x)=x^(2) , then evaluate : (f(x+1)-f(x-1))/(4x)

    Text Solution

    |

  4. If f(x)=(x)/(x-1), then evaluate : (f(a//b))/(f(b//a))

    Text Solution

    |

  5. If f(x)=(x-1)/(x+1), then prove that: (f(b)-f(a))/(1+f(b)*f(a))=(b-a...

    Text Solution

    |

  6. If f(x)=(1)/(1-x), then prove that : f[f{f(x)}]=x

    Text Solution

    |

  7. If (x)=tan x, the prove that :f(x)+f(-x)=0

    Text Solution

    |

  8. If f(x)=x+(1)/(x), then prove that : {f(x)}^(3)=f(x^(3))+3*f((1)/(x)...

    Text Solution

    |

  9. If y=f(x)=(ax-b)/(bx-a), the prove that : x=f(y)

    Text Solution

    |

  10. If f(x)=sin x + cos^(2)x, then prove that: f(x)=f(pi-x)

    Text Solution

    |

  11. If f(x)=(1-x^(2))/(1+x^(2)), then prove that: f(tan theta)=cos 2thet...

    Text Solution

    |

  12. If f(x)=x^2+x+1, then find the value of 'x' for which f(x-1) =f(x)

    Text Solution

    |

  13. If f(x)=log(e)x, then prove that :f(xyz)=f(x)+f(y)+f(z)

    Text Solution

    |

  14. If f(x)=log(e)x and g(x)=e^(x), then prove that : f(g(x)}=g{f(x)}

    Text Solution

    |

  15. If f(x)=sqrt((1-x)/(1+x)), then evalaute :f(cos 2theta)

    Text Solution

    |

  16. If f(x)="log"(1+x)/(1-x) , then prove that: f((2x)/(1+x^(2)))=2f(x)

    Text Solution

    |

  17. If f:R to R is defined as: f(x)= {{:(2x+1, "if",x gt 2),(x^(2)-1,"if...

    Text Solution

    |

  18. If f(x) = cos(log x) then f(x)f(y)-1/2[f(x/y)+f(xy)] has the value

    Text Solution

    |

  19. If f(x)=3 cos x and g(x)=sin^(2)x, the evaluate: (f+g)((pi)/(2))

    Text Solution

    |

  20. If f(x)=x^(2) and g(x)=2x , then evaluate, (i) (f+g)(3)" "(ii) (f...

    Text Solution

    |