A function f(x) = 1/x is transformed into a new function R(x). To form the new function R(x), f(x) is horizontally translated 4 units to the right, translated 1/2 units up, and compressed vertically 3/2 units. Write the equation of the new function f(x) and sketch the graph

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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A function f(x) = 1/x is transformed into a new function R(x). To form the new
function R(x), f(x) is horizontally translated 4 units to the right, translated 1/2 units up,
and compressed vertically 3/2 units. Write the equation of the new function f(x) and
sketch the graph.

 

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