What is the asymptotes of f(x)=(24x^2+63x+34)/(4x+3) ?

The asymptotes of f(x)=(24x^2+63x+34)/(4x+3) is Vertical: x=-3/4 ,Slant: y=6x+45/4

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asymptotes of f(x)=(24x^2+63x+34)/(4x+3)

asymptotes

f (x) = \frac{24 x ^{2} + 63 x + 34}{4 x + 3}

Vertical : x = - \frac{3}{4}, Slant : y = 6 x + \frac{45}{4}

Solution steps

Vertical asymptotes of

\frac{24 x ^{2} + 63 x + 34}{4 x + 3} : x = - \frac{3}{4}

Horizontal Asymptotes of

\frac{24 x ^{2} + 63 x + 34}{4 x + 3} :

None

Slant Asymptotes of

\frac{24 x ^{2} + 63 x + 34}{4 x + 3} : y = 6 x + \frac{45}{4}

Vertical : x = - \frac{3}{4}, Slant : y = 6 x + \frac{45}{4}

f (x) = 3 x - 1 + 5

\frac{x + 13}{5}

\frac{5 x ^{2} - 3}{x + 2}

(\frac{1}{3})^{x + 2} + 4

\frac{\frac{x}{x + 4}}{\frac{x}{x + 4} + 4}

What is the asymptotes of f(x)=(24x^2+63x+34)/(4x+3) ?
The asymptotes of f(x)=(24x^2+63x+34)/(4x+3) is Vertical: x=-3/4 ,Slant: y=6x+45/4