Respuesta :

Answer:

Domain: (4, ∞)

Range: (-∞, ∞)

Step-by-step explanation:

In this logarithmic function, the [tex](x-4)[/tex] in parenthesis is where the function moves to in the x direction. The direction is always opposite because you would set that expression to 0 and solve for x, giving you 4. The function, though, approaches 4 and never reaches it.

The range is all real numbers because the function continues to go downward and upward to infinity.