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16 April, 02:44

If f (x) = [sqrt{1-x^2}] and g (x) = [sqrt{x}] What is the domain and range for (f+g) of and go (f*g) = ?

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  1. 16 April, 03:14
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    We are given with two equations bearing a square root sign within. In this case, the goal of f (x) is to have a value of x not greater than 1 and not less than - 1. g (x) should have x only equal to positive numbers. Hence the domain for (f+g) is equal to the positive numbers greater than or equal to 1. in 2. we multiply both functions to give sqrt of x * (1-x2). the domain should be also positive numbers greater than or equal to 1.
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