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What key features do the functions f(x) = 3x and g of x equals the square root of the x minus 3 end root have in common?
a) Both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.
b) Both f(x) and g(x) include domain values of [–3, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.
d) Both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions have a y-intercept in common.
d) Both f(x) and g(x) include domain values of [–3, ∞) and range values of (–∞, ∞), and both functions increase over the interval (–3, 0).

Respuesta :

MrRoyal

The key features are (a) both f(x) and g(x) include domain values of [3, ∞) and range values of (0, ∞), and both functions are positive for the entire domain.

How to determine the key features

The functions are given as:

[tex]f(x) = 3^x[/tex]

[tex]g(x) = \sqrt{x - 3}[/tex]

Using a graphing calculator, we have the following highlights:

  • The domain of g(x) is [3,∞) and its range is [0,∞)
  • The domain of f(x) is (-∞,∞) and its range is (0,∞)
  • Both functions have positive values for their domains

By comparing the above highlights, the true statement between functions g(x) and f(x) is option (a)

Read more about function domain and range at:

brainly.com/question/10197594

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