#### Question

Find all points of discontinuity of *f*, where *f* is defined by `f(x) = {(|x|+3, if x<= -3),(-2x, if -3 < x < 3),(6x + 2, if x >= 3):}`

#### Solution

The given function *f* is f(x) = `f(x) = {(|x|+3, if x<= -3),(-2x, if -3 < x < 3),(6x + 2, if x >= 3):}`

The given function *f* is defined at all the points of the real line.

Let *c* be a point on the real line.

Case I:

Therefore, *f* is continuous at all points *x*, such that *x* > 3

Hence, *x* = 3 is the only point of discontinuity of *f*.

Is there an error in this question or solution?

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Find All Points of Discontinuity Of F, Where F Is Defined by |X|+3, If X<= -3, -2x, If -3 < X < 3,6x + 2, If X >= 3 Concept: Concept of Continuity.

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