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Help fast plizz! What are the domain and range of the function f(x)=log(x-4)-3?

Help fast plizz! What are the domain and range of the function f(x)=log(x-4)-3?-example-1

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Answer:

Domain: (4, ∞)

Range: (-∞, ∞)

Explanation:

In this logarithmic function, the
(x-4) 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.

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