Question

I need help with answering the following questions. :/ :)

Answer 1

a) (0, ∞)

b) (-∞, ∞)

c) x = 0

Explanation:

It helps to have some idea what the log function is.

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a) The domain is all positive numbers: (0, ∞).

b) The range is all real numbers: (-∞, ∞). (The vertical translation downward by 5 units does not change that.)

c) There is a vertical asymptote where the argument of the log function is zero: at x=0.