Find the domain of the function and identify any vertical and horizontal asymptotes:

a. The domain is all real numbers x except . There is a vertical asymptote at x = –2 and a
horizontal asymptote at y = 0.
b. The domain is all real numbers x except . There is a vertical asymptote at x = –2 and a
horizontal asymptote at y = .
c. The domain is all real numbers x except . There is a vertical asymptote at x = –4 and a
horizontal asymptote at y = 0.
d. The domain is all real numbers x except . There is a vertical asymptote at x = –2 and no
horizontal asymptote.


a. The domain is all real numbers x except . There is a vertical asymptote at x = –2 and a
horizontal asymptote at y = 0.

Mathematics

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Provide an appropriate response.The equation -x2 = - 64 has no real solutions.

A. True. B. False; the equation is equivalent to x2 = 64 and has two real solutions, 8 and -8. C. False; the equation has one real solution, 8.

Mathematics

Find all the factors of the natural number.63

A. 1, 3, 5, 7, 9, 11, 21, 63 B. 1, 2, 3, 7, 9, 21, 36, 63 C. 3, 5, 7, 9, 11, 21, 63 D. 1, 3, 7, 9, 21, 63

Mathematics

Find  at the given point. 2xy - 2x + y = -14; (2, -2)

A. - 
B.
C. - 
D.

Mathematics

Write the standard form of the equation of the circle with radius r and center (h, k).r = ; (h, k) = (-6, -4)

A. (x + 4)2 + (y + 6)2 = 225 B. (x + 6)2 + (y + 4)2 = 15 C. (x - 6)2 + (y - 4)2 = 15 D. (x - 4)2 + (y - 6)2 = 225

Mathematics