5. Which of the following is true for f(x) = x² -4 ? X-2 There is a non-removable discontinuity at x = 2. %D There is a removable discontinuity at x = 2. %3D The function is continuous for all real numbers.

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A: f(x)=x2-4x-2x<2ax2-bx+32≤x<32x-a+bx≥3

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A: A function f(x) will be continuous at a point a if:   limx→a-f(x) = f(a) = limx→a+f(x)

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A: Solution of question as follow

Q: (b) Redefine f(4) so that f is continuous at x = 4 (and thus the discontinuity is "removed"). f(4) =

A: The given function is: f(x)=x2-12x+32x-4

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A: Continuous function should not have any abrupt (sudden) changes.

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A: c=5 Answer and explanation is given below

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