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How do you state the largest possible domain of a function?

April 26, 2017domain function largest Mathematics possible State

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How do you state the largest possible domain of a function?

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You cant take the logarithm of a negative number or 0 So f(x)=log e (3x+2) 3x + 2 = 0 x = -2/3 The domain is x can be all real number greater than x = -2/3 In interval notation this is (-2/3, +Infinity) f(x) =log e (x^2 – 4x + 4) x^2 – 4x + 4 = 0 (x-2)(x-2) = 0 x= 2 Use test points x = 1 and x = 3 Test point x = 1 yields 1 Test point x = 3 yields 1 So, the domain is all real numbers except x cannot = 2.