Home
Class 12
MATHS
The function f satisfies the function eq...

The function f satisfies the function equation `3f(x) +2f ((x+59)/(x-1))=10 x +30 ` for all `x ne 1.` Then the value of `f (7)` is-

A

4

B

`-4`

C

5

D

`-5`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 6|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 5|89 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1))=10 x+30 for all real x!=1. The value of f(7)i s (a) 8 (b) 4 (c) -8 (d) 11

A function f(x) satisfies the functional equation x^2f(x)+f(1-x)=2x-x^4 for all real x. f(x) must be

Let f (x+(1)/(x))= x^(2) +(1)/(x^(2)) , x ne 0, then the value of f (x) is-

If the function f(x) satisfies the condition f(x + 1/x) = x^2 + 1/x^2,x ne 0 then f(x) is

A real valued function f(x) satisfies the functional equation f(x-y) = f(x) f(y) - f(a-x) f(a+y) , where a is a given constant and f(0)=1 , f(2a-x) =?

If function f satisfies the relation f(x)*f^(prime)(-x)=f(-x)*f^(prime)(x) for all x ,and f(0)=3, and if f(3)=3, then the value of f(-3) is ______________

f(x) is real valued function such that 2f(x) + 3f(-x) = 15 - 4x for all x in R . Then f(2) =

If the function f satisfies the relation f(x+y)+f(x-y)=2f(x)xxf(y), AA x, y, in R and f(0) ne 0 , then

If the function f satisfies the reation f(x+y)+f(x-y)=2f(x) f(y) Aax,yin RR and f(0) ne 0 then ____

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 7
  1. If mapping f= {(1,-6), (2,-1) , (3,4) , (4,9)} is described by the rul...

    Text Solution

    |

  2. LetRR be the set of real numbers and f : RR to RR be defined by f(x)=s...

    Text Solution

    |

  3. Which of one of the following is the domain of the relation R defined ...

    Text Solution

    |

  4. If f (x+2)=3x +4, then the value of f (x ^(2) -1) is-

    Text Solution

    |

  5. If (x^(3))/((2x-1) (x+2) (x-3))=A+ (B)/(2x-1) +(C )/(x+2) + (D)/(x-3),...

    Text Solution

    |

  6. The focus of the parabola y ^(2) -x -2y+2=0 is at-

    Text Solution

    |

  7. The function f (x) =(2x^(2)+7)/(x ^(3) +3x ^(2) -x-3) is underfined at...

    Text Solution

    |

  8. The value of lim (xto0) (27^(x)-9^(x)-3^(x)+1)/(sqrt5 -sqrt(4+cos x)) ...

    Text Solution

    |

  9. The function f satisfies the function equation 3f(x) +2f ((x+59)/(x-1)...

    Text Solution

    |

  10. If y =sqrtx +(1)/(sqrtx), then the value of (2x (dy)/(dx)+y) is-

    Text Solution

    |

  11. The value of lim (x to 0) (2 ^(x) -2^(-x))/(x) is-

    Text Solution

    |

  12. A real valued function f (x) satisfied the functional relation f (x-y)...

    Text Solution

    |

  13. If f is a real valued difrerentiable function satisfying | f (x) - f (...

    Text Solution

    |

  14. Suppose f (x) is differentiable at x=1 and lim (h to0) (f(1+h))/(h) =5...

    Text Solution

    |

  15. If f(x) = cos (log (e) x), then f (x) f(y) -1/2 [f(xy) +f((x)/(y))] ha...

    Text Solution

    |

  16. If lim (xtooo)[(x ^(3) +1)/(x ^(2)+1)-(ax+b) ]=2, then the values of ...

    Text Solution

    |

  17. y= sqrt(3x) -sqrt((3)/(x))+ (x+6)/(6-x), then the vlaue of [(dy)/(dx)...

    Text Solution

    |

  18. The arange of the function f(x) =(3- cos 2x) ^(-1) is-

    Text Solution

    |

  19. The domain of defination of the function f (x )= log (3+x) (x^(2) -1) ...

    Text Solution

    |

  20. lim (xto0) (1-ax) ^(-1//x) is equal to-

    Text Solution

    |