The Function fx=4 x2/4 x x3

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Byju's Answer

Standard XII

Mathematics

Conic Section

The Function ...

Question

Discontinuous at every points

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Discontinuous exactly at three points

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Discontinuous at only one point

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Discontinuous exactly at two points

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Solution

The correct option is B
Discontinuous exactly at three points

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Similar questions

Q. The function

f (x) = \frac{4 - x^{2}}{4 x - x^{3}}

(a) discontinuous at only one point
(b) discontinuous exactly at two points
(c) discontinuous exactly at three points
(d) none of these

L e t f : [- \frac{1}{3}, 3] \to R a n d g : [- \frac{1}{3}, 3] \to R d e f i n e d b y f (x) = [x^{2} - 4] a n d g (x) = | x - 2 | f (x) + | 3 x - 5 | f (x)

, where

[x]

denotes the greatest integer less than or equal to

x

for

x \in R,

then

For $x ϵ [0, \frac{1}{2}], f (x) = tan ({sin}^{- 1} (\frac{x}{\sqrt{2}} + \sqrt{\frac{1 - x^{2}}{2}}) - {sin}^{- 1} x)$ is

Let $f : [- \frac{1}{2}, 2] \to R$ and $g : [- \frac{1}{2}, 2] \to R$ be functions defined by
$f (x) = [x^{2} - 3] and g (x) = | x | f (x) + | 4 x - 7 | f (x)$ ,where [y] denotes the greatest integer less than or equal to y for $y ϵ R$ . Then

Q. If f(x) = sgn (x) and

g (x) = x (1 - x^{2})

then (fog)(x) is discontinuous at

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The correct option is B Discontinuous exactly at three points

The correct option is B
Discontinuous exactly at three points