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The domain of the function f(x)= x/(x-7) is all real numbers except for x=7, as that would make the denominator zero, which is undefined in mathematics.
In mathematics, when determining the domain of a function like f(x)= x/x-7, the domain is the set of all real numbers that x can be, except where the denominator is zero, because division by zero is undefined. In this function, the denominator is (x-7), so you need to find out what value of x would make this equal zero.
The equation x - 7 = 0 implies that x = 7. Therefore, x cannot be 7, as that would make the denominator of the fraction zero. So, the domain of the function f(x)=x/(x-7) is all real numbers except 7.
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Rewritten by : Barada
Answer:
(-∞,7) U (7,∞)
Step-by-step explanation:
All real values of x such x ≠ 7
