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C. 2
If the graphs intersect only once, it means that the equations are not equal to each other. Therefore, setting f(x) = g(x) gives:
2x + 3 = 3b^2
Solving for b:
2x + 3 = 3b^2
2(0) + 3 = 3b^2
3 = 3b^2
1 = b^2
b = 1 or b = -1
Since b must be positive, the possible value is b = 2.