Home
Class 12
MATHS
If f1(x)=x ,f2(x)=1-x ,f3(x)=1/x ,f4(x)=...

If `f_1(x)=x ,f_2(x)=1-x ,f_3(x)=1/x ,f_4(x)=1/(1-x),f_5(x)=x/(x-x),f_5(x)=x/(x-1), , f_6(x)=(x-1)/x` suppose that `f_6(f_m(x))=f_4(x)` and `f_n(f_4(x))=f_3(x),` then `m=5` (b) `n=5` (c) `m=6` (d) `n=6`

Text Solution

AI Generated Solution

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

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)=(2x)/(5)+(7)/(3), f^(-1)(x)=

Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

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

If f_1(x)=(1)/(x), f_(2) (x)=1-x, f_(3) (x)=1/(1-x) then find J(x) such that f_(2) o J o f_(1) (x)=f_(3) (x) (a) f_(1) (x) (b) (1)/(x) f_(3) (x) (c) f_(3) (x) (d) f_(2) (x)

If f(x)=|x^2-5x+6|, then f'(x) equals

If f(x)=|x^2-5x+6|, then f'(x) equals

If f'(x)=x/2 + 2/x and f(1)=5/4 , then find f(x) .

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find the equation of tangent to y=int(x^(2))^(x^(3))(dt)/(sqrt(1+t^(2)...

    Text Solution

    |

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

    Text Solution

    |

  3. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...

    Text Solution

    |

  18. Which of the following functions is periodic (a) cos^2x+sinx^3+"tan"...

    Text Solution

    |

  19. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  20. Projection of line (x+1)/2+(y+1)/(-1)=(z+3)/4 on the plane x+2y+z=6; h...

    Text Solution

    |