Mathematics 1 Deneme Sınavı Sorusu #1221636

Given that x is a real number and f is given by the rule f (x) = (2x - 12)1/2 , which of the following sets is the largest domain of the definition of f ?


(-∞, -1]

(-∞, -6]

(-∞, 6]

[6, ∞)

[1, ∞)


Yanıt Açıklaması:

In order for the square root to make sense, the argument (the terms inside the square root) should not be negative. (2x - 12)1/2 is the square root of 2x - 12. Therefore, the inequality 2x–12 ≥ 0 should be satisfied. This means that x ≥ 6 must be satisfied. Hence, the largest domain of definition of f is [6, ∞).  

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