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

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

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.5: Transformation Of Functions

Problem 4SE: When examining the formula of a function that is the result of multiple transformations, how can you...

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Question

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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