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vertical and horizontal asymptote of f(x) = (x+3)(x–2) / (x+5)(x–4)?​

Sagot :

Answer:

vertical asymptote at x = -3

horizontal asymptote at y = 1

Step-by-step explanation:

Vertical asymptotes occur when the denominator of a rational function tends to zero. To find the equation let the denominator equal zero.

solve x + 3 = 0 ⇒x=−3

Horizontal asymptotes occur as limx→±∞f(x)→0

If the degree of the numerator and denominator are equal , the equation can be found by taking the ratio of leading coefficients. Here they are both degree 1.

⇒y=11=1 is the equation

Here is the graph of the function as an illustration.

graph{(x+5)/(x+3) [-10, 10, -5, 5]}

not sure kung tama po yan :>