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Popular >

asymptotes of y=((x+3)(x-4))/((3x+1)(2x-3))

Solution

asymptotes

y = \frac{( x + 3 ) ( x - 4 )}{( 3 x + 1 ) ( 2 x - 3 )}

Solution

Vertical : x = - \frac{1}{3}, x = \frac{3}{2}, Horizontal : y = \frac{1}{6}

Solution steps

Vertical asymptotes of

\frac{( x + 3 ) ( x - 4 )}{( 3 x + 1 ) ( 2 x - 3 )} : x = - \frac{1}{3}, x = \frac{3}{2}

Horizontal Asymptotes of

\frac{( x + 3 ) ( x - 4 )}{( 3 x + 1 ) ( 2 x - 3 )} : y = \frac{1}{6}

Slant Asymptotes of

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

None

Vertical : x = - \frac{1}{3}, x = \frac{3}{2}, Horizontal : y = \frac{1}{6}

Graph

Popular Examples

asymptotes of f(x)=(x^3+8)/(x^2+5x+6)asymptotes

f (x) = \frac{x ^{3} + 8}{x ^{2} + 5 x + 6}

domain of f(x)=sin^3(x)domain

f (x) = sin^{3} (x)

domain of f(x)=ln(x+1)domain

f (x) = ln (x + 1)

range of f(g)=sqrt(x-3)range

f (g) = x - 3

domain of (40)/((t+5)^2)domain

\frac{40}{( t + 5 ) ^{2}}

Frequently Asked Questions (FAQ)

What is the asymptotes of y=((x+3)(x-4))/((3x+1)(2x-3)) ?
The asymptotes of y=((x+3)(x-4))/((3x+1)(2x-3)) is Vertical: x=-1/3 ,x= 3/2 ,Horizontal: y= 1/6