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8. a) Is it true to find the domain of a function we need to find all x-values for which the function is defined? b)

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8. a) Is it true to find the domain of a function we need to find all x-values for which the function is defined? b) Is it true that to find the domain of a fraction you should solve the inequality: denominator # 0? (Remember the restriction: division by zero is forbidden) For example. Find the domain f(x) = 1/x 1/x is a fraction therefore the denominator must be not equal to zero The domain is x #0 or in interval notation x is from (-co, 0) U (0, + ) c) Is it true that to find the domain of a radical with an even index you should solve the inequality: the radicand 2 0? For example. Find the domain of f(x) = Vx - 1 Vx - 1 is a radical with even index 2 therefore the radicand (x-1) must be 2 0 x- 120 the domain is x 2 1 or in interval notation [ 1, +0)

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