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Find the domain of the function. (Enter your answer using interval notation.)f(x) = log2(x + 3)

Question

Find the domain of the function. (Enter your answer using interval notation.)f(x) = log2(x + 3)

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Solution

The domain of a logarithmic function is always where the argument of the logarithm (in this case, x + 3) is greater than zero.

So, we set up the inequality:

x + 3 > 0

Solving for x, we get:

x > -3

So, the domain of the function f(x) = log2(x + 3) is x > -3.

In interval notation, this is (-3, ∞).

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