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) Use composition to determine whether or not f(x) = 2? + 4 and g(x) = x-4/2 are inverses.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.2: Graphs Of Exponential Functions

Problem 2SE: What is the advantage of knowing how to recognizetransformations of the graph of a parent...

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Question

1) Use composition to determine whether or not f(x) = 2? + 4 and g(x) = x-4/2 are inverses.

2)Consider the parent function ? = ?^2. For each function below, describe the transformations which transform the parent function to each new function.

a. f(x)=1/2x^2

b. g(x)=(x+3)^2-2

c. h(x)=2x^3+3

d. j(x) = −3x^2

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