How Do You Find The Slant Asymptote Of F X X 2 3x 3 X 4

/in /by

Slant asymptote: ##y = x-1##. See the -inclusive graph.

By division,

##y = f(x)= x-1+1/(x+4)##

Rearranged,

##(y-x+1)(x+4)=1##, revealing that the graph is a hyperbola with

asymptotes

##(y-x+1)(x+4)=0##.

Separately,

y-x+1=0 gives a slant asymptote and

x+4=0 gives a vertical asymptote.

graph{((y-x+1)(x+4)-1)(y-x+1)(x+0.000001y+4)=0 [-23, 23.02, -12.7, 12.6]}

 
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