Find all horizontal and vertical asymptotes for the rational function.(Enter your answers as a comma-separated list of equations.)f(x) = （9x − 3）/ (2x + 5) Horizontal asymptotes?Vertical asymptotes?
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Find all horizontal and vertical asymptotes for the rational function.(Enter your answers as a comma-separated list of equations.)f(x) = （9x − 3）/ (2x + 5) Horizontal asymptotes?Vertical asymptotes?
Find all horizontal and vertical asymptotes for the rational function.
(Enter your answers as a comma-separated list of equations.)
f(x) = （9x − 3）/ (2x + 5)
Horizontal asymptotes?
Vertical asymptotes?
Find all horizontal and vertical asymptotes for the rational function.(Enter your answers as a comma-separated list of equations.)f(x) = （9x − 3）/ (2x + 5) Horizontal asymptotes?Vertical asymptotes?
Horizontal:y = 9/2
Vertical:x = -5/2
When x approaches -5/2 from the left (x < -5/2),9x - 3 < 0,2x + 5 < 0,f(x) > 0 and approaches infinity.When x approaches -5/2 from the right (x > -5/2),9x - 3 < 0,2x + 5 > 0,f(x) < 0 and approaches negative infinity.So x = -5/2 is its vertical asymptote.
When x approaches infinity or negative infinity,the limit of f(x) is 9/2,which is its horizontal asymptote.