What is the value of x? O x = 2 0 x = 3 X X=4 x = 6 a to N
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Domains of functions are the values that <em>can</em> be plugged into the function and not "break" it. By "break" I mean that the denominator cannot be 0, in this case. If the denominator is 0, we will get a divide by 0 error, and thus, we must restrict the domain. All values of x will work except 9/4:
Let's plug in 9/4 and see what happens:
So, plugging in 9/4 results in denominator equalling 0. Therefore, we must restrict the domain so that x ≠ 9/4. Your answer is All real values of x such that x ≠ 9/4.