In Exercises 29 and 30, find the values of x (if any) at which f is not continuous, and determine whether each such value is a removable discontinuity. 29. (a) f(x) = (c) f(x) = |x| X x-2 |x|-2 (b) f(x) = x² + 3x x + 3

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Q: Define g(-5) in a way that extends g(x)= 9(-5) = x² - 25 x + 8x + 15 to be continuous at x = -5.

A: We have to define g(-5) such that g(x) is continuous at x = -5.

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A: The answer is given below:

Q: Prove that a function of the form:is an even function.

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A: Solution: The objective is to determine whether the given function is even or not

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A: We know, x = -x,x&lt;0x,x≥0