We have the following information about a function $f(x)$ :

The function has a removable discontinuity at $x=4.$

The function has an infinite discontinuity at $x=6.$

The horizontal asymptote for this function is $y=5.$ Which of the following can be the formula for $f(x)?$

$f(x)=\frac{5x^2-20x}{x^2-10x24}$

$f(x)=\frac{5x^2-20x}{x^{2}10x24}$

$f(x)=\frac{5x-20}{x^2-10x24}$

$f(x)=\frac{x^2-4x}{x^2-10x24}$

$f(x)=\frac{5x^2-20x}{x^2-36}$

None of the above.