Which of the following statements is true for the function. f(x)=(x^2+x)/2(x^2-1)

BenguelaktR

BenguelaktR

Answered question

2022-12-02

Which of the following statements is true for the function
f ( x ) = x 2 + x 2 ( x 2 1 )
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

Clarence Terrell

Clarence Terrell

Beginner2022-12-03Added 13 answers

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.
thus option b is correct .

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