Which of the following statements is true for the functio f(x)=x 2 +x−6 2x 2 −2 a) y=1 2 is a horizontal asymptote and x=2 is a vertical asymptote. b) y=1 2 is a horizontal asymptote and x=1 is a vertical asymptote. c)y=3 is a horizontal asymptote and x=-1 is a vertical asymptote.d) y=3 is a horizontal asymptote and x=2 is a vertical asymptote

nuseldW4r

nuseldW4r

Answered question

2022-11-25

Which of the following statements is true for the function
f(x)=x 2 +x−6 2x 2 −2 ?
a)
y=1 2 is a horizontal asymptote and x=2 is a vertical asymptote.
b)
y=1 2 is a horizontal asymptote and x=1 is a vertical asymptote.
c)
y=3 is a horizontal asymptote and x=-1 is a vertical asymptote.
d)
y=3 is a horizontal asymptote and x=2 is a vertical asymptote

Answer & Explanation

tezeuszxcL

tezeuszxcL

Beginner2022-11-26Added 14 answers

b is correct
f ( x ) = x 2 + x 2 ( x 2 1 ) = x ( x + 1 ) 2 ( x + 1 ) ( x 1 ) = x 2 ( x 1 )
x = 1 is vertical asymptote as at x=1 fuction is not defined.

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