Question

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 x-intercept of (2, 0).
Both f(x) and g(x) increase on the interval of (–4 , ∞).

Answer 1

The true statement about the two functions is:

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

Which statement is true regarding the given functions?

Here we have the functions:

f(x) = log₂(4x)

g(x) = 4x - 3

That can be seen in the graph at the end. In the graph the green one is the logarithmic function.

As you can see there, both of these have similar ranges that go from (-∞, ∞) and both are increasing functions.

Then the correct statement is:

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

Where f(x) is actually increasing on all it's domain which is  (-∞, ∞), so the statement is true.

If you want to learn more about increasing functions:

https://brainly.com/question/4025726

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