Mathematics: State the horizontal asymptote of the rational function. f(x) = quantity nine x squared minus three x minus eight divided by quantity four x squared minus five x plus three. y = 3/5 y = 9/4 y = 0 none

State the horizontal asymptote of the rational function.

Ответ:

laura2school

17.01.2022

$f(x)= \frac{9x^2-3x-8}{4x^2-5x+3}
$

Horizontal asymptote = $\lim_{n \to \infty} f(x)$

$\lim_{n \to \infty} \frac{9x^2-3x-8}{4x^2-5x+3} =\lim_{n \to \infty} \frac{\frac{9x^2}{x^2}-\frac{3x}{x^2}-\frac{8}{x^2}}{\frac{4x^2}{x^2}-\frac{5x}{x^2}+\frac{3}{x^2}} =\lim_{n \to \infty} \frac{9-\frac{3}{x}-\frac{8}{x^2}}{4-\frac{5}{x}+\frac{3}{x^2}} = \frac{9-0-0}{4-0+0}=\frac{9}{4}$

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Ответ:

anonymous12443535

22.04.2022

Mathematics

Your function is

m = 12n
or
m(n) = 12n

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State the horizontal asymptote of the rational function.

f(x) = quantity nine x squared minus three x minus eight divided by quantity four x squared minus five x plus three.

y = 3/5

y = 9/4

y = 0

none

Ответ:

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