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1 answer:
---------------------------------------------------------------------------- Find constant a. ---------------------------------------------------------------------------- Given that g(4) = 8 -------------------------------------- Substitute x = 4 -------------------------------------- g(4) = a(4)² + 24 = 8 16a + 24 = 8 -------------------------------------- Take away 24 from both sides -------------------------------------- 16a = 8 - 24 16a = -16 -------------------------------------- Divide by 16 on both sides -------------------------------------- a = -1 Now that we know that a = -1, plug it back to the equation.g(x) = -x² + 24 -------------------------------------- Find g(-4) -------------------------------------- g(-4) = - (-4)² + 24 g(-4) = -16 + 24 g(-4) = 8 ----------------------------------------------------------------------------Answer: 8 ----------------------------------------------------------------------------
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