Given the functions f(x) = log₂ (2x) and g(x) = 2x - 3, which of the following statements is true? Both f(x) and g(x) decrease on the interval of (-∞, 1). Both f(x) and g(x) have the same range of (-∞, 0]. Both f(x) and g(x) have the same x-intercept of (0, 0). Both f(x) and g(x) increase on the interval of (0, ∞).

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 19E
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Given the functions f(x) = log2(2x) and g(x) = 2* - 3, which of the following statements is true?
Given the functions f(x) = log₂ (2x) and g(x) = 2X-3, which of the following statements is true?
Both f(x) and g(x) decrease on the interval of (-∞, 1).
O Both f(x) and g(x) have the same range of (-∞, 0].
Both f(x) and g(x) have the same x-intercept of (0, 0).
O Both f(x) and g(x) increase on the interval of (0, ∞).
Transcribed Image Text:Given the functions f(x) = log₂ (2x) and g(x) = 2X-3, which of the following statements is true? Both f(x) and g(x) decrease on the interval of (-∞, 1). O Both f(x) and g(x) have the same range of (-∞, 0]. Both f(x) and g(x) have the same x-intercept of (0, 0). O Both f(x) and g(x) increase on the interval of (0, ∞).
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