Numeric 1 point Given f(x)=(x-7)/(3x^2)-75 , what is the horizontal asymptote? y= Type your answer...

To find the horizontal asymptote of the function $f(x)=\frac {x-7}{3x^{2}-75}$, we need to analyze the behavior of the function as $x$ approaches positive or negative infinity.<br /><br />As $x$ approaches positive or negative infinity, the numerator $x-7$ becomes very large, while the denominator $3x^{2}-75$ becomes very large as well. In this case, the denominator grows faster than the numerator, so the fraction approaches 0.<br /><br />Therefore, the horizontal asymptote of the function $f(x)=\frac {x-7}{3x^{2}-75}$ is $y=0$.