Question

What is the domain of f(x) = log(x + 2)?

Answer 1

You cannot take the log of 0 and anything less than 0 will give a non-real answer.

Answer 2

the log function is defined only for positive values.

therefore f(x) = log(x² -4) is defined only for

x² - 4 > 0
x² > 4
x < -2, x > 2

The domain is (-∞, -2) U (2, ∞)

Answer 3

This is just log(x + 2), therefore the domain is simply x > -2

Answer 4

thanks :)