Home
Class 12
MATHS
Statement-1 : For real values of x and y...

Statement-1 : For real values of x and y the relation `y^(2) = 2x - x^(1) - 1` represents y as a function of x.
Statement-2 : If f(x) = log (x-2)(x-3) and g(x) = log(x-2) + log (x-3) then f=g
Statement-3 : If f(x+2) = 2x-5 then f(x) = 2x-9.

A

FTF

B

FTT

C

TFT

D

TTF

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - I) Subjective Type Questions|17 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - G) Integer Answer Type Questions|8 Videos

  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)=log(x-2)-log(x-3) and g(x)=log((x-2)/(x-3)) are identical, then

f(x) = log(x^(2)+2)-log3 in [-1,1]

Knowledge Check

  • If f(x) = x log x and g(x) = 10^(x) , then g(f(2)) =

    A
    24
    B
    17
    C
    4
    D
    2

  • If f(x)=e^(x)+2x , then f(ln 2)=

    A
    `1.20`
    B
    `2.69`
    C
    `2.77`
    D
    `3.39`

    • Similar Questions

    Explore conceptually related problems

    f(x)=sqrt(log((3x-x^(2))/(x-1)))

    If f(x) = log_(e^2x) ((2lnx+2)/(-x)) and g(x) = {x} then range of g(x) for existance of f(g(x)) is

    f(x)=log_(x^(2)) 25 and g(x)=log_(x)5. Then f(x)=g(x) holds for x belonging to

    For x in R, f(x) = | log 2- sin x| and g(x) = f(f(x)) , then

    Statement -1: f(x) = (1)/(2)(3^(x) + 3^(-x)) , then f(x) ge 1 AA x in R . Statement -2 : The domain of f(x) = log_(3)|x| + sqrt(x^(2) - 1) + (1)/(|x|) is R - [-1, 1]. Statement-3 : If f(x^(2) - 2x + 3) = x-1 , then f(2) + f(0) is euqal to -2.

    Find for what values of x the following functions would be identical. f(x)=log(x-1)-log(x-2) and g(x)=log((x-1)/(x-2))

    Home
    Profile