Question

Problem #4: Find the constants A and B so that the graph of the function $f(x) = \frac{Ax + 3}{9 - Bx}$ has $x = 3$ as a vertical asymptote and $y = -5$ as a horizontal asymptote.

          Problem #4: Find the constants A and B so that the graph of the function
$f(x) = \frac{Ax + 3}{9 - Bx}$
has $x = 3$ as a vertical asymptote and $y = -5$ as a horizontal asymptote.

Problem #4: Find the constants A and B so that the graph of the function
f(x) = (Ax + 3)/(9 - Bx)
has x = 3 as a vertical asymptote and y = -5 as a horizontal asymptote.

Added by Darlene E.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sheryl Ezze

10/24/2023

Step 1

In this case, the denominator is $9 - Bx$. Since $x = 3$ is a vertical asymptote, we must have $9 - B(3) = 0$. Show more…

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Problem #4: Find the constants A and B so that the graph of the function $f(x) = \frac{Ax + 3}{9 - Bx}$ has $x = 3$ as a vertical asymptote and $y = -5$ as a horizontal asymptote.