9514 1404 393
Answer:
i. 0
ii. 5, 9
iii. 12
iv. 0
Explanation:
i. Roots are found where the numerator is zero, at x=0.
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ii. Vertical asymptotes are found where the denominator is zero, at x=5 and x=9.
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iii. The horizontal asymptote is the value of g(x) when x approaches infinity. It is the quotient of the leading terms of the numerator and denominator:
y = (12x²)/(x²) = 12
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iv. The y-intercept is the function value when x=0.
g(0) = 12·0/45 = 0