Home
Class 12
MATHS
If f(x)=2x+3, g(x)=1-2x and h(x) =3x. Pr...

If `f(x)=2x+3, g(x)=1-2x` and `h(x) =3x`. Prove that `fo(goh)=(fog)oh`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise ILLUSTRATION|2 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise SOLVED EXAMPLES|1 Videos
  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise JEE Previous Year|9 Videos
  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|17 Videos

Similar Questions

Explore conceptually related problems

If f(x)=2x+3 , g(x)=1-2x and h(x)=3x. Prove that f o(g o h) = (f o g ) o h

If f(x)=2x+3, g(x) = 1-2x and h(x)=3x . Prove that f o (g o h) = (f o g) o h

If f(x)=x^(2), g(x)=3x and h(x)=x-2 . Prove that (fog)oh=fo(goh) .

Let f, g, h be three functions from R to R defined by f(x)=x+3, g(x) = 2x^(2) ,h(x) = 3x +1. Show that (fog)oh=fo(goh).

Given f(x) = x-1, g(x) = 3x+1 and h(x) = x^2 show that (fog )oh = f o(goh)

If f(x)=3+x and g(x)=x-4 , show that fog(x)=gof(x)

Given f(x) = 5x + 2 , g(x) = 2x - 3, h(x) = 3x + 1, Verify fo (goh ) = (fog ) oh

Given f(x) = x-2 , g (x) = 3x + 5 , h (x) = 2 x - 3 verfiy that (goh) of = go ( hof).

If f(x)=1/x ,g(x)=1/(x^2), and h(x)=x^2 , then (A) f(g(x))=x^2,x!=0,h(g(x))=1/(x^2) (B) h(g(x))=1/(x^2),x!=0,fog(x)=x^2 (C) fog(x)=x^2,x!=0,h(g(x))=(g(x))^2,x!=0 (D) none of these

If f(x)=2x^(2) and g(x)=(1)/(3x) . Then fog is

CENGAGE-APPLICATION OF DERIVATIVES-Examples
  1. Prove that points of the curve y^2=4a{x+asin(x/a)} at which tangents a...

    Text Solution

    |

  2. Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...

    Text Solution

    |

  3. If f(x)=2x+3, g(x)=1-2x and h(x) =3x. Prove that fo(goh)=(fog)oh.

    Text Solution

    |

  4. Find the derivative of y = tan^-1 (x^2-1)

    Text Solution

    |

  5. Let x be the length of one of the equal sides of an isosceles triangle...

    Text Solution

    |

  6. A lamp is 50ftdot above the ground. A ball is dropped from the same he...

    Text Solution

    |

  7. If water is poured into an inverted hollow cone whose semi-vertical ...

    Text Solution

    |

  8. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  9. The radius of the base of a cone is increasing at the rate of 3 cm/min...

    Text Solution

    |

  10. Find the approximate volume of metal in a hollow spherical shell wh...

    Text Solution

    |

  11. Find approximate value of f (5.001) where f(x) =x^3-7x^2+15 .

    Text Solution

    |

  12. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

  13. Discuss the applicability of Rolles theorem for the following functi...

    Text Solution

    |

  14. If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...

    Text Solution

    |

  15. How many roots of the equation (x-1)(x-2)(x-3)+(x-1)(x-2)(x-4) +(x-2)(...

    Text Solution

    |

  16. If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has at...

    Text Solution

    |

  17. Let f(x) be differentiable function and g(x) be twice differentiable f...

    Text Solution

    |

  18. Let f(x) be differentiable function and g(x) be twice differentiable f...

    Text Solution

    |

  19. If f : [-5, 5] to R is a differentiable function function and if f'(x)...

    Text Solution

    |

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

    Text Solution

    |