if x >0 2. Let f(x) 19(x) if x < 0 (a) Find the formula for g(x) which makes f(x) an even function. (b) Find the formula for g(x) which makes f (x) an odd function.

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A: Explanation of the answer is as follows

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Q: True or False? For a function g(x). g"(3) = -8 indicates that g(x) is at x=3.

A: Given that for a function g(x), g"(3)=-8 indicates that g(x) is................ at x=3

Q: If g(x) is an even function, then f(g(x)) is even. Is this false or true.

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Q: Let both f(x) and g(x) be odd functions. If possible, determine whether each function must be even…

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Q: Let h be a function with h1(10)=-12, and let g(x)=h(x2+1). Find g1(3).

A: Given:  h'10=-12, gx=hx2+1 Find:g'3 As,   gx=hx2+1 Using Composition of functions and the derivative…

Q: Use the tables for functions f and g to evaluate each. f(x) g(x) (f - 9)(6) = f(-5) = -5 -3 4 2 1 -5…

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