Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f (x) is a real number. Let f be the function defined above, where k is a constant. f (x) (a) For what value of k, if any, is f continuous at x = -2? Justify your answer. = x²+kx-2 3x2+4x+3 x³+2 0 2e² 2-e for x < -2 for 2 0

Q: . Algebraically find the domain of the function in interval notation. f(x) = v3 + 5x

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Q: Consider the following function: x4 x3 h(x) x² + 5x 12 6 Find the open intervals on which h(x) is…

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A: Given: f(x)=5x+1if x&lt;12xif 2≤x≤62-2xif x&gt;6

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A: first we analysis to given question that how to find f, G, h then we compute F(x) function.

Q: g(x) = x2 + 2x – 2 I

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Q: Which of the following defines a function on a given domain? a. f(x)= ; domain = {1,2, -3, -6} X x +…

A: The objective is to determine the function from the given options. f(x) will be a function if it is…