Home
Class 12
MATHS
If f(x)=1/((x+1)(x-2)) and g(x)=1/(x^(2)...

If `f(x)=1/((x+1)(x-2))` and `g(x)=1/(x^(2))`, then the points of dscontinuity of `f(g(x))` are

A

`{-1, 0, 1, (1)/(sqrt2)}`

B

`{(-1)/(sqrt2), -1, 0, 1, (1)/(sqrt2)}`

C

`{0, 1}`

D

`{0, 1, (1)/(sqrt2)}`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=1/((x-1)(x-2)) and g(x)=1/x^2 then points of discontinuity of f(g(x)) are

If f(x)=sqrt(x^(2)-1) and g(x)=(10)/(x+2) , then g(f(3)) =

If f(x)=sqrt(2x+3) and g(x)=x^(2)+1 , then f(g(2))=

If f(x) = (3)/(x-2) and g(x) = sqrt(x + 1) , find the domain of f @ g .

Let g(x) = f(f(x)) where f(x) = { 1 + x ; 0 <=x<=2} and f(x) = {3 - x; 2 < x <= 3} then the number of points of discontinuity of g(x) in [0,3] is :

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is

If f(x) = 3x + 1 and g(x) = x^(2) - 1 , then (f + g) (x) is equal to

If f(x)=e^(x) and g(x)=f(x)+f^(-1) , what does g(2) equal?

Consider the function f (x) and g (x), both defined from R to R f (x) = (x ^(3))/(2 )+1 -x int _(0)^(x) g (t) dt and g (x) =x - int _(0) ^(1) f (t) dt, then The number of points of intersection of f (x) and g (x) is/are: