What is the asymptotes of f(x)=(4x^2+x-6)/(x^2+x-42) ?

The asymptotes of f(x)=(4x^2+x-6)/(x^2+x-42) is Vertical: x=-7,x=6,Horizontal: y=4

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asymptotes of f(x)=(4x^2+x-6)/(x^2+x-42)

asymptotes

f (x) = \frac{4 x ^{2} + x - 6}{x ^{2} + x - 42}

Vertical : x = - 7, x = 6, Horizontal : y = 4

Solution steps

Vertical asymptotes of

\frac{4 x ^{2} + x - 6}{x ^{2} + x - 42} : x = - 7, x = 6

Horizontal Asymptotes of

\frac{4 x ^{2} + x - 6}{x ^{2} + x - 42} : y = 4

Slant Asymptotes of

\frac{4 x ^{2} + x - 6}{x ^{2} + x - 42} :

None

Vertical : x = - 7, x = 6, Horizontal : y = 4

f (x) = 2 x - \frac{3}{5}

f (x) = \frac{2 tan ( x )}{3 x ^{2} - 2}

f (x) = x^{3} + 11 x - 4

lo g_{10} (x - 3)

\frac{1}{6 x}

What is the asymptotes of f(x)=(4x^2+x-6)/(x^2+x-42) ?
The asymptotes of f(x)=(4x^2+x-6)/(x^2+x-42) is Vertical: x=-7,x=6,Horizontal: y=4