Home
Class 12
MATHS
Let f(x) = 2 ln x and g(x) = ln x^2 .Do ...

Let `f(x) = 2 ln x` and `g(x) = ln x^2` .Do you think `f = g` ? Justify

Text Solution

Verified by Experts

No-because `Dom f != Dom g`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER 1

    MODERN PUBLICATION|Exercise PROBLEM|75 Videos

  • TEST PAPER 2

    MODERN PUBLICATION|Exercise PROBLEM|74 Videos

Similar Questions

Explore conceptually related problems

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Compute fog and gof and find their natural domains.

Let f(x) = sqrt(x) and g(x) = 1 -x^(2) . Show that hgof only on R_(0)={x in R: x gt= 0} and not on R..

Show that functions f and g defined by f(x)=2 log x and g(x) =log x^2 are not equal even though log x^2 =2 log x.

If f: RrarrR,g :RrarrR and h : RrarrR such that f(x)= x^2, g(x) = tan x and h(x)= log x then find [ho (gof)] (x) at x = sqrtpi/2

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Find natural domains of f and g.

"Let" f(x) =sqrtx "and" g(x) = 1 -x^2. Find natural domain of h(x) = 1-x.

Let f(x) = sqrtx ,g(x)=1-x^2 . Compute fog and gof .

Find gof and fog, if f :R rarr R and g:R rarr R are given by (i) f(x) = sinx and g(x) = 4x^(2) . (ii) f(x) = x^(2) and g(x) = 2x +1.

Find gof and fog, if f: R rarr R and g: R rarr R are given by f(x) = cos x and g(x) = 3x^(2) , then show that gof ne fog.

If f(x) = sqrtx and g (x) = x/4 then what is (g of) (x).?

MODERN PUBLICATION-TEST PAPER 10-EXERCISE
  1. Let f(x) = 2 ln x and g(x) = ln x^2 .Do you think f = g ? Justify

    Text Solution

    |

  2. If cot^-1 x + sin^-1 1/sqrt 5 = pi/4 then what is the value of x.

    Text Solution

    |

  3. If A = ((2,4),(1,3)) and I = ((1,0),(0,1)) then find A - alpha I, alp...

    Text Solution

    |

  4. Evaluate [[-6,0,0],[3,-5,7],[2,8,11]

    Text Solution

    |

  5. Give example of a function whose is continuous but not differentiable ...

    Text Solution

    |

  6. Is there any tangent to the curve y=|2x-1| at (1/2,0)?

    Text Solution

    |

  7. Find the primitive of : (x+1)/x

    Text Solution

    |

  8. Is y = A/(x+A) a solution of the differential equation x dy/dx + y = y...

    Text Solution

    |

  9. Find the co-ordinates of the foot of the perpendicular drawn from orig...

    Text Solution

    |

  10. Write the projection of hat i - hat j in the direction of hat i - hat ...

    Text Solution

    |

  11. Let A = {1, 2, 3). Then, show that the number of relations containing ...

    Text Solution

    |

  12. A factory uses three different respurce for the manufacture of two dif...

    Text Solution

    |

  13. Verify that [AB]^T =B^TA^T where A=[[1,2,3],[6,7,8],[6,-3,4]] B=[[1,2,...

    Text Solution

    |

  14. Solve x + 2y = 3, 3x + y = 4 by matrix method.

    Text Solution

    |

  15. Prove the following : [[1,x,x^2],[x^2,1,x],[x,x^2,1]]=(1-x^3)^2

    Text Solution

    |

  16. If A=[[alpha,0],[1,1]] and B=[[1,0],[5,1]], show that for no values of...

    Text Solution

    |

  17. Prove that |(1, a, a^3),(1, b, b^3),(1, c, c^3)|= (a-b)(b-c)(c-a)(a+b+...

    Text Solution

    |

  18. If x^7y^3=(x+y)^10, then find (d^2y)/(dx^2)

    Text Solution

    |

  19. If tangents are drawn from the origin to the curve y = sin x, then sho...

    Text Solution

    |

  20. Integrate the following int(3x+4)/(xsqrt(2x^2-5))dx

    Text Solution

    |