The domain of a function f(x) is {x∈R|−4≤x≤16}. The range of f(x) is {y∈R| −8≤y≤12} Given g(x) = (3/4)f(−x+3) + 5, what is the domain and range of g(x)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.1: Graphing Quadratic Functions
Problem 75PFA
Question

The domain of a function f(x) is {x∈R|−4≤x≤16}. The range of f(x) is {y∈R| −8≤y≤12}
Given g(x) = (3/4)f(−x+3) + 5, what is the domain and range of g(x) ?

 

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