Consider the following rational functions: r(x)=(2x−1)/(x^2)−x−2 s(x)=(x^3+27)/(x^2+4) t(x)=((x^3)−9x)/(x+2) u(x)=((x^2)+x−6)/(x^2−25) w(x)=((x^3)+(6x^2)+9x))/(x+3) Which of these functions has no vertical asymptote?

pancha3

pancha3

Answered question

2021-06-08

Consider the following rational functions: r(x)=2x1x2x2s(x)=x3+27x2+4
t(x)=(x3)9xx+2
u(x)=(x2)+x6x225
w(x)=((x3)+(6x2)+9x))x+3
Which of these functions has no vertical asymptote?

Answer & Explanation

StrycharzT

StrycharzT

Skilled2021-06-09Added 102 answers

r(x)=2x1(x2)x2=2x1x2(x+1)
s(x)=x3+27x2+4=(x+3)(x2)+9+3x(x2)+4
t(x)=(x3)9xx+2=x(x3)(x+3)x+2
u(x)=(x2)+x6x225=(x2)(x+3)(x5)(x+5)
w(x)=((x3)+(6x2)+9x))x+3=x(x+3)
s(x) and w(x)

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