a rational function f(x) has one vertical asymptote =2 and one horizontal asymptote, y=-3. Also, the graph of f(x) passes through the ordered pair (5,0). Determine an equation for f(x) with these properties a) f(x)= -(3x-15)/(x-2) b) f(x) = (3x)/(2-x) c) f(x) = -(3x+15)/(x-2) d) f(x) = (3x+10)/(2-x)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 93E
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a rational function f(x) has one vertical asymptote =2 and one horizontal asymptote, y=-3. Also, the graph of f(x) passes through the ordered pair (5,0). Determine an equation for f(x) with these properties

a) f(x)= -(3x-15)/(x-2)

b) f(x) = (3x)/(2-x)

c) f(x) = -(3x+15)/(x-2)

d) f(x) = (3x+10)/(2-x)

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