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

Question

2 years ago

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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 , ∞).

Mathematics

1 answer:

Mama L [17] · Answer 1 · 2023-11-05T16:30:45+03:00

The true statement is that (d) both f(x) and g(x) increase on the interval of (0 , ∞)

<h3>How to determine the true statement?</h3>

The functions are given as:

f(x) = log₂(2x)

g(x) = 2x - 3

Next, we plot the graph of both functions (see attachment)

From the attached graph, we can see that:

As x increases, the functions value increase

Hence, the true statement is that (d) both f(x) and g(x) increase on the interval of (0 , ∞)