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

The function `f` satisfies the functional equation `3f(x)+2f((x+59)/(x1))=10 x+30` for all real `x!=1.` The value of `f(7)i s` 8 (b) 4 (c) `-8` (d) 11

Text Solution

Verified by Experts

The correct Answer is:
74
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS AIEEE/JEE MAIN PAPERS|50 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL 2 (SINGLE CORRECT ANSWER TYPE QUESTIONS ))|25 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • STATISTICS

    MCGROW HILL PUBLICATION|Exercise QUESTION FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|13 Videos

Similar Questions

Explore conceptually related problems

The function f satisfies the functional equation 3f(x)+2f((x+59)/(x-1))=10x+30 for all real x!=1. The value of f(7)is8(b)4(c)-8 (d) 11

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

A function f satisfies the equation 3f(x)+2f((x+59)/(x-1))=10x+30 , (x!=1) then the value of (f(11))/(f(7)) is

Let f be a function satisfying the functional equation f(x)+2f((2x+1)/(x-2))=3x,x!=2 then find the value of |(f(3))/(f(7))|

The function f (x) satisfy the equation f (1-x)+ 2f (x) =3x AA x in R, then f (0)=

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

A real valued function f(x) satisfies the relation 3f(x)-f((x+2)/(x-1))=4x,x!=1, then f(0) is equal to

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

Let f:R-{3}rarr R be a real valued function satisfying the functional equation 3f(x)+2f((3x+5)/(x-3))=4x+2 Then f(x) is given as

Let f be a function such that f((8)/(sqrt(1+sqrt(x))))=x for all x>=0 .The value of f(4) equals

MCGROW HILL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )
  1. Let f(x) = tan^(-1) (sqrt(x+7)) + sec^(-1)(1/(sqrt(x(x+7)+1))), then t...

    Text Solution

    |

  2. Let f : R to R be defined by f(x) = ax + b AA x in R Where a,b in ...

    Text Solution

    |

  3. Suppose A and B are two sets. If the power set of A contains 64 elemen...

    Text Solution

    |

  4. Let a, b, c in R. If f (x) = ax^(2) + bx + c is such that a + b + c = ...

    Text Solution

    |

  5. Let f(x) = cos (ln x) , x gt 0. If f(xy) + f(x/y) = kf(x)f(y) AA x, ...

    Text Solution

    |

  6. Suppose A and B are two finite sets. If the number of relations that c...

    Text Solution

    |

  7. A class has 175 students. The following data shows the number of stude...

    Text Solution

    |

  8. Let f(x) = sin(ln x) AA x gt 0. Suppose f(e^(kpix)) = f(x) AA x gt 0, ...

    Text Solution

    |

  9. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x1))...

    Text Solution

    |

  10. Let [x] greatest integer le x. Define f : R to R by f(x) = cos(5x) cos...

    Text Solution

    |

  11. Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ...

    Text Solution

    |

  12. Le A = {1,2, 3,4, 5}. Let {1,2,3} and {4, 5} be two equivalence classe...

    Text Solution

    |

  13. Let A = {a, b, c,d). If an equivalence relation R on A has exactly one...

    Text Solution

    |

  14. Let f(x) = cos^(2)x + cos^(2)(x + pi//3) + sin x sin (x + pi//3) and ...

    Text Solution

    |

  15. Let f be an even function defined on R. Suppose f is defined on [0,4] ...

    Text Solution

    |

  16. Let f : R-{1} to R be defined by f(x) =(1+x)/(1-x) AA x in R -{1} th...

    Text Solution

    |

  17. Let f: [0, infty) to R be such that f(16/sqrt(1+sqrt(x))) = x AA x g...

    Text Solution

    |

  18. Let f: N to R be a function satisfying the condition f(1) + f(2)……………....

    Text Solution

    |

  19. The number of integers lying in the range of f(x) = 15/(12-5 sinx), x ...

    Text Solution

    |

  20. Let P be a polynomial satisfying the equation P(x) P(1/x) = P(x) + P...

    Text Solution

    |