Inflection at f'(x) = 0
x^1/2 / (1 + x + x^3) = 0
The x coordinate is x = 0
or "C" from your choices there.
The simplest way is to notice that this happens when x = 0. The reason is you got:
x^1/2 / (some expression)
at x = 0 the numerator is 0 so unless the denominator is also 0 the result is 0.
The denominator for x = 0 is 1 so you get
0/1 = 0.
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