The graph of y=1/(14x+90) has A horizontal asymptotes, B vertical asymptotes, and the graphs of the functions y = 14x + 90 and y=1/(14x+90) will intersect C times. The values of A, B, and C are...?

Answer 1

rational functions can have vertical asymptotes where the denominator is zero, and a horizontal asymptote.

14x+90 = 1/(14x+90)
(14x+90)^2 = 1
14x+90 = ±1
so (A,B,C) = (1,1,2)

better review the topic of rational functions. Also see the graphs at

https://www.wolframalpha.com/input/?i=14x%2B90+%3D+1%2F%2814x%2B90%29+for+-7+%3C%3D+x+%3C%3D+-5