Which function represents a reflection of f of x is equal to 5 times 0 point 8 to the x th power across the x -axis?

A reflection across the x-axis changes every output of the function to its opposite, so the reflected function is g(x) = -f(x). Since f(x) = 5(0.8)^x, this gives g(x) = -5(0.8)^x. Choice C, negative 5 times 0.8 to the x power, matches.

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