What is the asymptotes of f(x)=((x-3))/(x+4(x-3)) ?

The asymptotes of f(x)=((x-3))/(x+4(x-3)) is Vertical: x= 12/5 ,Horizontal: y= 1/5

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asymptotes of f(x)=((x-3))/(x+4(x-3))

asymptotes

f (x) = \frac{( x - 3 )}{x + 4 ( x - 3 )}

Vertical : x = \frac{12}{5}, Horizontal : y = \frac{1}{5}

Solution steps

Vertical asymptotes of

\frac{x - 3}{x + 4 ( x - 3 )} : x = \frac{12}{5}

Horizontal Asymptotes of

\frac{x - 3}{x + 4 ( x - 3 )} : y = \frac{1}{5}

Slant Asymptotes of

\frac{x - 3}{x + 4 ( x - 3 )} :

None

Vertical : x = \frac{12}{5}, Horizontal : y = \frac{1}{5}

\frac{2}{x ^{2} + 2 x - 15}

\frac{5 x ^{2}}{x ^{2} - 9}

\frac{6 x}{x ^{2} - 36}

\frac{x ^{3} - 8}{x ^{2}}

\frac{x + 4}{3 x + 7}

What is the asymptotes of f(x)=((x-3))/(x+4(x-3)) ?
The asymptotes of f(x)=((x-3))/(x+4(x-3)) is Vertical: x= 12/5 ,Horizontal: y= 1/5