Math  /  Algebra

QuestionRational Functions, Equations, and Inequalities
NAME \qquad Williams 0.
DATE : 181 1212024 \qquad K 1/161 / 16 T 15 c 14 A 112 1) For each function, identify the location of the hole (if applicable), the equation(s) of the vertical asymptote(s) and the equation of the horizontal asymptote. (a) f(x)=x+1x2+xf(x)=\frac{x+1}{x^{2}+x} (b) g(x)=x2+4x+4x24g(x)=\frac{x^{2}+4 x+4}{x^{2}-4} [K-6]

Studdy Solution
For f(x)f(x), there's a hole at (1,1)(-1, -1), a vertical asymptote at x=0x = 0, and a horizontal asymptote at y=0y = 0.
For g(x)g(x), there's a hole at (2,0)(-2, 0), a vertical asymptote at x=2x = 2, and a horizontal asymptote at y=1y = 1.

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