Identify the asymptotes. $$ s(x)=\frac{4 x^{2}+3}{x^{2}} $$ Part 1 of 3 Equation(s) of vertical asymptote(s):

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To identify the vertical asymptote, we first look at the function

$$
s(x)=\frac{4x^{2}+3}{x^{2}}.
$$

1. Vertical asymptotes occur where the denominator is zero (provided the numerator is not also zero at those points). Here, the denominator is $$x^2$$.

2. Set the denominator equal to zero:

$$
x^{2}=0 \quad \Longrightarrow \quad x=0.
$$

3. Check the numerator at $$x=0$$:

$$
4x^2+3 \quad \text{evaluated at} \quad x=0 \quad \text{gives} \quad 3 \neq 0.
$$

Since the numerator is non-zero when $$x=0$$, there is a vertical asymptote at $$x=0$$.

Thus, the equation of the vertical asymptote is

$$
x=0.
$$
The vertical asymptote is $$ x = 0 $$.

Identify the asymptotes. \[ s(x)=\frac{4 x^{2}+3}{x^{2}} \] Part 1 of 3 Equation(s) of vertical asymptote(s):

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