![Let f (x) = x2 – 6 and g(x) = V6 – 2. Determine the domain of f (g(x)). O [-6,6] o [6,00) 0 (-00,-6] U [6,00) o(-00,00) 01-00](http://img.homeworklib.com/questions/834cbf10-4414-11eb-8556-2f11bce3cbb2.png?x-oss-process=image/resize,w_560)
Homework Answers
Solution 1
f(g(x) = (√6-x)2 -6
f(g(x)) = 6-x-6
= -x
For which domain is all real number
But g(x) is defined only for 6-x ≥ 0
6 ≥ x
Hence option 5 is correct (-infinity, 6]
Answer
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