Home
Class 12
MATHS
if f(x) and g(x) are continuous function...

if `f(x)` and `g(x)` are continuous functions, `fog` is identity function, `g'(b) = 5` and `g(b) = a` then `f'(a)` is

A

`1/5`

B

`2/5`

C

1

D

5

Text Solution

Verified by Experts

The correct Answer is:
`A`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATH|25 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

If f(x) and g(x) are continuous functions satisfying f(x) = f(a-x) and g(x) + g(a-x) = 2 , then what is int_(0)^(a) f(x) g(x)dx equal to ?

If f(x) be continuous function and g(x) be discontinuous, then

If f(x) and g(x) are continuous functions satisfying f(x)=f(a-x) and g(x)+g(a-x)=2 then what is int_0^a f(x) g(x) dx equal to

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) and g(x) are continuous functions in [a,b] and are differentiable in (a,b) then prove that there exists at least one c in(a,b) for which.det[[f(a),f(b)g(a),g(b)]]=(b-a)det[[f(a),g'(c)]], where a

If f(x)=sqrt(1-x) and g(x)=log x are two functions,then describe functions fog and gof.

If f(x) and g(x) be continuous functions in [0,a] such that f(x)=f(a-x),g(x)+g(a-x)=2 and int_0^a f(x)dx=k , then int_0^a f(x)g(x)dx= (A) 0 (B) k (C) 2k (D) none of these

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATHEMATICS
  1. The prejection of the line segment joining the poing (1, -1, 3) and (2...

    Text Solution

    |

  2. If 7x + 6y - 2z = 0, 3x + 4y + 2z = 0, x - 2y - 6z = 0 then which opti...

    Text Solution

    |

  3. if f(x) and g(x) are continuous functions, fog is identity function, g...

    Text Solution

    |

  4. If x= 2 sintheta - sin2theta and y= 2 costheta - cos 2theta then (d...

    Text Solution

    |

  5. If (dx)/dy = (xy)/(x^2 + y^2), y(1) = 1 and y(x) = e then x =

    Text Solution

    |

  6. If minimum value of term free from xx for (x/(sintheta) + 1/(xcostheta...

    Text Solution

    |

  7. If x Sigma(n=0)^(oo) (-1)^n " tan "^(2n) " and " y = Sigma(n=0)^(oo)...

    Text Solution

    |

  8. int((d(theta))/((cos^2 theta)(sec(2theta) + tan(2theta)))) = lambda t...

    Text Solution

    |

  9. Let probability distribution is [[xi,:,1, 2, 3, 4, 5], [pi,:,k^2, 2k, ...

    Text Solution

    |

  10. If f(x) = |[x+a,x+2,x+1],[x+b,x+3,x+2],[x+c,x+4,x+3]| and a - 2b + c =...

    Text Solution

    |

  11. z is a complex number such that |Re(z)| + |Im (z)| = 4 then |z| can't ...

    Text Solution

    |

  12. Let an be the n^(th) term, of a G.P of postive terms. If Sigma(n=1)^...

    Text Solution

    |

  13. If lim(x rarr 0)x[4/x]= A, then the value of x at which f(x) = [x^2]si...

    Text Solution

    |

  14. Let one end of focal chord of parabola y^2 = 8x is (1/2, -2), then equ...

    Text Solution

    |

  15. If 10 different balls are to be placed in 4 distinct boxes at random, ...

    Text Solution

    |

  16. If p rarr (p wedge ~ q) is false. Truth value of p & q will be

    Text Solution

    |

  17. Let A = {x : |x| lt 2} and B = {x : |x - 2| ge 3} then

    Text Solution

    |

  18. Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sq...

    Text Solution

    |

  19. Let a function f: [0,5] rarr R be continuous , f(1) =3 and F be defind...

    Text Solution

    |

  20. Let both root of equation ax^2 - 2bx + 5 = 0 are α and root of equatio...

    Text Solution

    |