Home
Class 12
MATHS
If f(x)=(a x^2+b)^3, then find the funct...

If `f(x)=(a x^2+b)^3,` then find the function `g` such that `f(g(x))=g(f(x))dot`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    MOTION|Exercise Exercise - 4 Level-I|10 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 4 | Level-II|7 Videos

  • FUNCTION

    MOTION|Exercise Exercise - 2 (Level-II)|6 Videos

  • ELLIPSE

    MOTION|Exercise Exercise - 4 | Level-I Previous Year | JEE Main|20 Videos

  • HYPERBOLA

    MOTION|Exercise EXERCISE-4 (Level-II)|17 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(ax^(2)+b)^(3), then find the function g such that f(g(x))=g(f(x))

If f(x)=(ax^(2)+b)^(3) , then the function g satisfying f(g(x))=g(f(x)) is given by

Let f and g be differentiable functions such that: xg(f(x))f\'(g(x))g\'(x)=f(g(x))g\'(f(x))f\'(x) AA x in R Also, f(x)gt0 and g(x)gt0 AA x in R int_0^xf(g(t))dt=1-e^(-2x)/2, AA x in R and g(f(0))=1, h(x)=g(f(x))/f(g(x)) AA x in R Now answer the question: f(g(0))+g(f(0))= (A) 1 (B) 2 (C) 3 (D) 4

If f(x) and g(x) are linear functions of x and f(g(x)) and g(f(x)) are identity functions and if f(0)=4 and g(5)=17, compute f(2006)

If f(x) is polynomial function such that f(x)+f'(x)+f(x)+f'(x)=x^(3) and g(x)=int(f(x))/(x^(3)) and g(1)=1 then g( e ) is

If f (x) is a function such that f (x) + f'(x) =0 and g (x)= (f (x))^(2) +(f' (x))^(2) and g (3) =8, rhen g (8)=

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

Let f be a twice differentiable function such that f''(x)=-f(x), and f'(x)=g(x),h(x)=[f(x)]^(2)+[g(x)]^(2) Find h(10) if h(5)=11

MOTION-FUNCTION-Exercise - 3
  1. Find the period of the function f(x) = tan""(pi)/(2) [x]. Where [*]...

    Text Solution

    |

  2. Find the period (if periodic) of the following function ([.] denotes ...

    Text Solution

    |

  3. Find the conjugate of 1/(3-5i)

    Text Solution

    |

  4. Find the period of f(x)=sinx+tanx/2+sinx/(2^2)+t a n x/(2^3)++sinx/(2^...

    Text Solution

    |

  5. Find the period of the function f(x) = (sin x + sin 3x)/(cos x + co...

    Text Solution

    |

  6. A polynomial function f(x) satisfies the condition f(x)f(1/x)=f(x)+f(1...

    Text Solution

    |

  7. Solve the following problems from (i) to (v) on functional equation. (...

    Text Solution

    |

  8. A Function f is defined for all positive integers and satisfies f(1)=2...

    Text Solution

    |

  9. If a, b are positive real numbers such that a-b=2, then find the sma...

    Text Solution

    |

  10. Let f(x)=x^2+kx;k is a real number. The set of values of k for which t...

    Text Solution

    |

  11. Let P(x) is a six degree polynomial with leading coefficient 1 or in o...

    Text Solution

    |

  12. Computer the inverse of the function : f(x) = (x + sqrt(x^(2) + 1))

    Text Solution

    |

  13. Computer the inverse of the function : f (x) = (1+x)/(1-x)

    Text Solution

    |

  14. Computer the inverse of the function : y = (10^(x) - 1)/(10^(x) + 1...

    Text Solution

    |

  15. If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x)...

    Text Solution

    |

  16. If {{:(2+x",", x ge0),(4-x",", x lt 0):}, a then f (f(x)) is given by ...

    Text Solution

    |

  17. Consider the function f(x) = {{:( x^(2) - 1"," , -1 le x le 1) , ( lnx...

    Text Solution

    |

  18. Consider the function f(x) = {{:( x^(2) - 1"," , -1 le x le 1) , ( lnx...

    Text Solution

    |

  19. Consider the function f(x) = {{:( x^(2) - 1"," , -1 le x le 1) , ( lnx...

    Text Solution

    |

  20. The graph of the function y = f(x) is as follows. Match the funct...

    Text Solution

    |