Identify the asymptotes. \[ m(x)=\frac{4+3 x+4 x^{2}}{x} \] Part: \( 0 / 3 \) Part 1 of 3 Equation(s) of vertical asymptote(s):

To find the vertical asymptotes of the function \( m(x) = \frac{4 + 3x + 4x^2}{x} \), we look for the values of \( x \) that make the denominator equal to zero, as these values are where the function is undefined. In this case, the denominator is simply \( x \), so setting it to zero gives us \( x = 0 \). Therefore, the equation of the vertical asymptote is \( x = 0 \). Make sure to check if the numerator also equals zero at this point; if it did, we would have a hole instead of an asymptote. However, \( 4 + 3(0) + 4(0)^2 = 4 \neq 0\), confirming it’s a true vertical asymptote.