Home
Class 12
MATHS
Let f:A to B f (x) = (x +a)/(bx ^(2) + c...

Let `f:A to B f (x) = (x +a)/(bx ^(2) + cx +2),` where A represent domain set and B represent range set of function `f (x)` a,b,c `inR, f (-1)=0 and y=1` is an asymptote of `y =f (x) and y=g (x)` is the inverse of `f (x).`
g (0) is equal to :

A

`-1`

B

`-3`

C

`-5/2`

D

`-3/2`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • AREA UNDER CURVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|1 Videos
  • AREA UNDER CURVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos
  • AREA UNDER CURVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|4 Videos
  • APPLICATION OF DERIVATIVES

    VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos
  • BIONMIAL THEOREM

    VK JAISWAL ENGLISH|Exercise Exercise-4 : Subjective Type Problems|16 Videos

Similar Questions

Explore conceptually related problems

Let f:A to B f (x) = (x +a)/(bx ^(2) + cx +2), where A represent domain set and B represent range set of function f (x) a,b,c inR, f (-1)=0 and y=1 is an asymptote of y =f (x) and y=g (x) is the inverse of f (x). Area of region enclosed by asymptotes of curves y =f (x) and y=g (x) is:

Find the domain and the range of the function y=f(x) , where f(x) is given by x^(2)-2x-3

Let f(x) = x + cos x + 2 and g(x) be the inverse function of f(x), then g'(3) equals to ........ .

Let f(x) be a function satisfying f(x+y)=f(x)f(y) for all x,y in R and f(x)=1+xg(x) where underset(x to 0)lim g(x)=1 . Then f'(x) is equal to

If f(x) = y = (ax - b)/(cx - a) , then prove that f(y) = x.

Let f(x) = ([x]+1)/({x}+1) for f: [0, (5)/(2) ) to ((1)/(2) , 3] , where [*] represents the greatest integer function and {*} represents the fractional part of x. Draw the graph of y= f(x) . Prove that y=f(x) is bijective. Also find the range of the function.

Let f(x)=ax^(2)+bx + c , where a in R^(+) and b^(2)-4ac lt 0 . Area bounded by y = f(x) , x-axis and the lines x = 0, x = 1, is equal to :

Let a,b,c in R.If f(x) = ax^2+bx +c is such that a +b+c =3 and f(x+y)=f(x)+f(y)+xy,AA x,y in R, then Sigma_(n=1)^(10) f(n) is equal to

Let f(x)=a+2b cos^(-1)x, b gt0 . If domain and range of f(x) are the same set, then (b-a) is equal to :

Let g(x)=1+x-[x] and f(x)={ -1,x 0. Then for all x, f(g(x)) is equal to (where [.] represents the greatest integer function). (a) x (b) 1 (c) f(x) (d) g(x)