State the horizontal asymptote of the rational function. f (x) = quantity x squared plus six x minus eight divided by quantity x minus eight

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Mathematics

Belen Sutton

26 December, 07:15

State the horizontal asymptote of the rational function. f (x) = quantity x squared plus six x minus eight divided by quantity x minus eight

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Beckett Anthony · Answer 1

F (x) = (x²+6x-8) / (x-8) has a vertical asymptote at x=8. When x is large f (x) approaches x which is a 45 degree line (gradient 1). There is no horizontal asymptote.