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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 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 8 (b) 4 (c) -8 (d) 11

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

The function f(x) satisfying the equation f^2 (x) + 4 f'(x) f(x) + (f'(x))^2 = 0

Let f be a real valued function such that f(x)+3xf(1/x)=2(x+1) for all real x > 0. The value of f(5) is

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

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

A polynomial function f(x) satisfies the condition f(x)f(1/x)=f(x)+f(1/x) for all x inR , x!=0 . If f(3)=-26, then f(4)=

The function f(x) satisfies the equation f(x + 1) + f(x-1) = sqrt3 f(x) . then the period of f(x) is

Let the function f satisfies f(x).f ′ (−x)=f(−x).f ′ (x) for all x and f(0)=3 The value of f(x).f(-x) for all x is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Evaluate int(0)^(pi//2)(cosx)/((1+sinx)(2+sinx))dx.

    Text Solution

    |

  2. If Sn=1/(2n)+1/(sqrt(4n^2-1))+1/(sqrt(4n^2-4))++1/(sqrt(3n^2+2n-1)),n ...

    Text Solution

    |

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

    Text Solution

    |

  4. The reflection of the point vec a in the plane vec rdot vec n=q i...

    Text Solution

    |

  5. Find the equation of tangent to y=int(x^(2))^(x^(3))(dt)/(sqrt(1+t^(2)...

    Text Solution

    |

  6. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  7. If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=1/(1-x),f5(x)=x/(x-x),f5(x)=x/...

    Text Solution

    |

  8. Let f(x)a n dg(x) be two continuous functions defined from RvecR , suc...

    Text Solution

    |

  9. If int((x-1)dx)/(x^(2)sqrt(2x^(2)-2x+1))=sqrt(f(x))/(g(x))+C, where f(...

    Text Solution

    |

  10. If vec a , vec b , vec c are unit vector, prove that | vec a- vec b|^...

    Text Solution

    |

  11. Let lambda=int0^1(dx)/(1+x^3),p=(lim)(n->oo)[(prod(r=1)^n(n^3+r^3)...

    Text Solution

    |

  12. For f(x)=sin^2x ,x in (0,pi) point of inflection is: pi/6 (b) (2pi)/4...

    Text Solution

    |

  13. If z and bar z represent adjacent vertices of a regular polygon of n s...

    Text Solution

    |

  14. If z=((1+isqrt(3))^2)/(4i(1-isqrt(3)))i sacom p l e xnu m b e r ,t h e...

    Text Solution

    |

  15. If vec a+2"" vec b+3"" vec c="" vec0 and |"" vec a|=6,|"" vec b|=3a n...

    Text Solution

    |

  16. Function f(x)=sin(lnx)-"cos"(lnx) is (a)M.I. in [e^(2npipi/4),e^(2np...

    Text Solution

    |

  17. tan(sec^(-1) (1/x))=sin(cos^(-1) (1/sqrt(5)))

    Text Solution

    |

  18. Let : f(x)={(sina x^2)/(x^2),x!=0 3/4+1/(4a),x=0 for what values of a...

    Text Solution

    |

  19. The value of sin(pi/3-sin^(-1)(4/5)) is (a) (3sqrt(3)-4)/(10) (b) (3...

    Text Solution

    |

  20. "lim"(x->0)(ln(t a n(pi/4+a x)))/(sinb x),b!=0 is equal to (a)a/b (b...

    Text Solution

    |