Given the functions f(x) = log2(4x) and g(x) = 4x – 3, which of the following statements is true? Both f(x) and g(x) have a common domain on the interval (0, ∞).  Both f(x) and g(x) have the same range of (–∞, 0].  Both f(x) and g(x) have the same intercept of (2, 0).  Both f(x) and g(x) increase on the interval of (–4 , ∞).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 24E
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Given the functions f(x) = log2(4x) and g(x) = 4x – 3, which of the following statements is true?

Both f(x) and g(x) have a common domain on the interval (0, ∞). 

Both f(x) and g(x) have the same range of (–∞, 0].

 Both f(x) and g(x) have the same intercept of (2, 0). 

Both f(x) and g(x) increase on the interval of (–4 , ∞).

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