Question42. Find the domain of each function: (A) $f(x)=\frac{2 x-5}{x^{2}-x-6}$ (B) $g(x)=\frac{3 x}{\sqrt{5-x}}$
In Problems 57-59, find the equation of any horizontal asymptote.
57. $f(x)=\frac{5 x+4}{x^{2}-3 x+1}$
58. $f(x)=\frac{3 x^{2}+2 x-1}{4 x^{2}-5 x+3}$
53. Explain how the graph of $m(x)=-|x-4|$ is related to the graph of $y=|x|$.
54. Explain how the graph of $g(x)=0.3 x^{3}+3$ is related to the graph of $y=x^{3}$.
19. Complete the square and find the standard form for the quadratic function $$f(x)=-x^{2}+4 x$$
Then write a brief verbal description of the relationship between the graph of $f$ and the graph of $y=x^{2}$.