Problem

Copyright @ by Absolute Value Publications. This book is NOT covered by the Question 44 Sketch the graph of the following function: \[ f(x)=\frac{x-2}{(2 x-3)(x-2)} \]

Solution

Step 1 :Identify the horizontal asymptote: y = 0

Step 2 :Find the vertical asymptotes: x = 3/2

Step 3 :Simplify the function: f(x) = 1/(2x-3)

Step 4 :Sketch the graph

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