Home
Class 12
MATHS
If f(x) = log x and g(x) = e^x then fog(...

If `f(x) = log x` and `g(x) = e^x` then `fog(x)` is :

A

`e^(x)`

B

x

C

log x

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-B |58 Videos

  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C (MCQ)|20 Videos

  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos

  • PUNJAB BOARD-MATHEMATICS 2018

    OMEGA PUBLICATION|Exercise SERIES -C|19 Videos

Similar Questions

Explore conceptually related problems

If f(x) = sin x and g(x) = 2x, find fog.

Let f(x) = x^2 and g (x) = sqrtx , then (fog) (x) = x for all x in D_(fog) . Write D_(fog)~

Given f(x) =log_(10) x and g(x) = e^(piix) . phi (x) =|{:(f(x).g(x),(f(x))^(g(x)),1),(f(x^(2)).g(x^(2)),(f(x^(2)))^(g(x^(2))),0),(f(x^(3)).g(x^(3)),(f(x^(3)))^(g(x^(3))),1):}| the value of phi (10), is

If e^f(x)= log x and g(x) is the inverse function of f(x), then g'(x) is

If f(x) = (x+1)/(x+2) and g(x) = x^2 , then find fog

If f(x) = (x + 1)/(x-1) and g(x) = (1)/(x-2) , then (fog)(x) is discontinuous at

If f(x) = x^2 +1 and g(x) = 3x - 1 then find formulae for the following functions: fog

If f(x) = sqrtx and g(x) = 2x -3 , then domain of (fog) (x) is

If f:R -> R, g:R -> R defined as f(x) = sin x and g(x) = x^2 , then find the value of (gof)(x) and (fog)(x) and also prove that gof != fog .

OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-C
  1. If f(x) = log x and g(x) = e^x then fog(x) is :

    Text Solution

    |

  2. Find the integrating factor of differentiate equation x(dy)/(dx)+y=x"c...

    Text Solution

    |

  3. Find the angle between the line x-1/3=3-y/-1=3z+1/6 and the plane 3x -...

    Text Solution

    |

  4. If P(A) = 3P(B) = 5/7 where A and B are independent events then find P...

    Text Solution

    |

  5. If A = [[2,1],[3,-5]] and f(x) = x^2 - 2x + 3, then find f(A).

    Text Solution

    |

  6. If y=sin^-1((2x)/(1+x^2)), then find dy/dx.

    Text Solution

    |

  7. Evaluate underset(2)overset(4)int(x^(2)-1)dx.

    Text Solution

    |

  8. Evaluate int"tan" x dx.

    Text Solution

    |

  9. Solve the differentiate equation (dy)/(dx)=1/(1+x^(2)),y(0)=3.

    Text Solution

    |

  10. Evaluate inte^(3x)"cos"5xdx

    Text Solution

    |

  11. Evaluate underset(0)overset(2)int(x^(2)+3)dx as limit of a sum.

    Text Solution

    |

  12. Find the area of smaller region founded by the ellipse (x^(2))/9+(y^(2...

    Text Solution

    |

  13. Find the particular solution of differential equations : [x sin^2(y/x)...

    Text Solution

    |

  14. If f(x) = (3 - x^3)(1//3) then find fof(x). Also find f^-1

    Text Solution

    |

  15. Check whether relation R = {(x, y): x le y^2, x, y in R}, defined on s...

    Text Solution

    |

  16. For any two vectors veca and vecb, prove that : |veca+vecb|le|veca|+|v...

    Text Solution

    |

  17. If y=("cos"x)^(x)+(x)^("cos"x) then find (dy)/(dx).

    Text Solution

    |

  18. Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the i...

    Text Solution

    |

  19. Bag I contains 5 red and 3 black balls and bag 11 contains 6 red and 5...

    Text Solution

    |

  20. Prove that : sin^-1 (3/5) + cos^-1 (5/sqrt26) =tan^-1 (19/17)

    Text Solution

    |

  21. If area of /\ABC is 12 square units and vertices are A (x, 2), B (4, -...

    Text Solution

    |