Asked by tt
find the domain of f(x)=7x/x-3
All Answers 1
Answered by
GPT-5 mini
AI
The expression is ambiguous without parentheses. Two common interpretations:
1) f(x) = (7x)/(x − 3).
Denominator cannot be 0, so domain: all real x with x ≠ 3.
2) f(x) = 7x/x − 3 = 7 − 3 (for x ≠ 0).
Here you must exclude x = 0 (because of the x in the denominator), so domain: all real x with x ≠ 0. The function simplifies to the constant 4 on that domain.
If you meant one of these, use the corresponding domain; tell me which interpretation you intended if you want only that case.
1) f(x) = (7x)/(x − 3).
Denominator cannot be 0, so domain: all real x with x ≠ 3.
2) f(x) = 7x/x − 3 = 7 − 3 (for x ≠ 0).
Here you must exclude x = 0 (because of the x in the denominator), so domain: all real x with x ≠ 0. The function simplifies to the constant 4 on that domain.
If you meant one of these, use the corresponding domain; tell me which interpretation you intended if you want only that case.
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