SOLUTION: Find the domain of f and write it in set builder or interval notation. f(x) = log(4 - √(2-x))

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Question 433014: Find the domain of f and write it in set builder or interval notation.
f(x) = log(4 - √(2-x))
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
First we must have 4+-+sqrt%282-x%29+%3E+0.
<==> 16+%3E+2-x after squaring both sides.
<==> x+%3E+-14.
Intersect this with 2+-+x+%3E=+0, or 2+%3E=+x, to get the interval
(-14, 2]. This is the domain.