Which function represents g of x , a reflection of f of x is equal to 1 half times 3 to the x th power across the y -axis?

Reflecting a function across the y-axis means replacing x with −x. Since f(x) = 1/2 · 3^x, the reflected function is g(x) = f(−x) = 1/2 · 3^(−x). Therefore, the answer is choice C, one half times 3 raised to the negative x power.

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