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What key features do the functions f(x) = 4-x and g of x equals negative one times the square root of the x minus 4 end root have in common?

A.)Both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

B.)Both f(x) and g(x) include domain values of [4, ∞), and both functions decrease over the interval (4, ∞).

C.) Both f(x) and g(x) include domain values of [4, ∞) 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 [–4, ∞) and range values of (–∞, ∞), and both functions are negative for the entire domain.

Respuesta :

MrRoyal

The key features are (1) both f(x) and g(x) include domain values of [–4, ∞) and range values of (–∞, ∞), and both functions have an x-intercept in common.

How to determine the key features

The functions are given as:

f(x) = 4 - x

[tex]g(x) = -\sqrt{x - 4}[/tex]

Using a graphing calculator:

  • The domain of g(x) is [4,∞)
  • The range of g(x) is (-∞,0]
  • The domain of f(x) is (-∞,∞)
  • The range of f(x) is (-∞,∞)
  • 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 (1)

Read more about function domain and range at:

brainly.com/question/10197594

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