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

`f(x)= (1)/((x-1) (x-2)) and g(x)= (1)/(x^(2))`. Find the points of discontinuity of the composite function f(g(x))?

Text Solution

Verified by Experts

The correct Answer is:
`x= +- 1, 0, +- (1)/(sqrt2)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.1|84 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Exercise-5.2|20 Videos

  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos

  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

If the function f(x)= (1)/(x+2) , then find the points of discontinuity of the composite function y= f {f(x)}

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

Find all the points of discontinuity of f defined by f(x) = |x| - |x+1|

If f'(x)=x-(1)/(x^(2)) and f(1)=(1)/(2) then find f(x).

f(x)= (x^(2)+1)/(x^(2)-1) and g(x)= tan x . Examine the continuity of (fog) (x).

f(x)= x, g(x)= (1)/(x) and h(x)= f(x) g(x). If h(x) = 1 then…….

If alpha, beta (where alpha lt beta ) are the points of discontinuity of the function g(x) = f(f(f(x))), where f(x) = (1)/(1-x) . Then, The points of discontinuity of g(x) is

If f(x)= 2x and g(x) = (x^(2))/(2) + 1 , then which of the following can be a discontinuous function?

If f(x) = (1)/(x^(2) - 17 x + 66) , then f((2)/(x - 2)) is discontinuous at x =