Answer:
D. g(x) = (3/2)(3^x)
Explanation:
"Dilation" means the function is multiplied by some value. The y-intercept of f(x) is 3^0 = 1. We notice the y-intercept of g(x) is greater than 1, so the multiplier must be greater than 1.
The only such choice is ...
g(x) = 3/2(3^x) . . . . . choice D
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Additional comment
g(1) is not 4.5 for choices A and B, so those can be eliminated. g(0) is not 3/2 for choice C, so that can be eliminated.