Home
Class 12
MATHS
If f:[1,10]->[1,10] is a non-decreasing ...

If `f:[1,10]->[1,10]` is a non-decreasing function and `g:[1,10]->[1,10]` is a non-decreasing function. Let `h(x)=f(g(x))` with `h(1)=1,` then `h(2)`

A

lies in (1,2)

B

is more than 2

C

is equal to 1

D

is not defined

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part II|21 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part III|23 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise 1 Part III : Match the Column|4 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

If f:[1,10]rarr[1,10] is a non-decreasing function and g:[1,10]rarr[1,10] is a non- decreasing function.Let h(x)=f(g(x)) with h(1)=1, then h(2)

If f(x) and g(x) are non-periodic functions, then h(x)=f(g(x)) is

If f(x) and g(x) are non- periodic functions, then h(x)=f(g(x))is

Let f:[0, infty) to [0, infty) and g: [0, infty) to [0, infty) be two functions such that f is non-increasing and g is non-decreasing. Let h(x) = g(f(x)) AA x in [0, infty) . If h(0) =0 , then h(2020) is equal to

STATEMENT-1: Let f(x) and g(s) be two decreasing function then f(g(x)) must be an increasing function . and STATEMENT-2 : f(g(2)) gt f(g(1)) , where f and g are two decreasing function .

f:R to R is a function defined by f(x)= 10x -7, if g=f^(-1) then g(x)=

If g(x) is a decreasing function on R and f(x)=tan^(-1){g(x)}. State whether f(x) is increasing or decreasing on R.

Let f and g be increasing and decreasing functions,respectively,from [0,oo]to[0,oo] Let h(x)=f(g(x)). If h(0)=0, then h(x)-h(1) is always zero (b) always negative always positive (d) strictly increasing none of these

The function f(x)=log_(10)(x+sqrt(x^(2))+1) is

let f (x) = sin ^(-1) ((2g (x))/(1+g (x)^(2))), then which are correct ? (i) f (x) is decreasing if g (x) is increasig and |g (x) gt 1 (ii) f (x) is an increasing function if g (x) is increasing and |g (x) |le 1 (iii) f (x) is decreasing function if f(x) is decreasing and |g (x) | gt 1

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part I
  1. "Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0)...

    Text Solution

    |

  2. Minunun distance between the curves f(x)=e^x and g(x)=ln x is

    Text Solution

    |

  3. The point(s) on the parabola y^2 = 4x which are closest to the circlex...

    Text Solution

    |

  4. If f(x)= a^({a^(|x|)sgn x }),g(x)=a^([a^(|x|)sgn x] for a gt 1, a!=1...

    Text Solution

    |

  5. If f:[1,10]->[1,10] is a non-decreasing function and g:[1,10]->[1,10] ...

    Text Solution

    |

  6. If f(x)=|ax-b|+c|x| is stricly increasing at atleast one point of non ...

    Text Solution

    |

  7. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  8. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  9. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  10. Consider the following statements : S(1): The function y=(2x^(2)-1)...

    Text Solution

    |

  11. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

    Text Solution

    |

  12. "Let "f(x) ={underset(-2x + log(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 ...

    Text Solution

    |

  13. Four points A, B, C, D lie in that order on the parabola y = ax^2 +bx+...

    Text Solution

    |

  14. The base of prism is equilateral triangle. The distance from the centr...

    Text Solution

    |

  15. The maximum area of the rectangle whose sides pass through the vertice...

    Text Solution

    |

  16. Statement 1: ABC is given triangle having respective sides a,b,c. D,E,...

    Text Solution

    |

  17. if f'(x)=(x -4) (x-5) (x-6) (x-7) then.

    Text Solution

    |

  18. Show that the square roots of two successive natural numbers greater ...

    Text Solution

    |

  19. If Rolle's theorems applicable to the function f(x)=ln x/x, (x> 0) ove...

    Text Solution

    |

  20. if f(x) be a twice differentiable function such that f(x) =x^(2) " fo...

    Text Solution

    |