यदि (f(x)=\frac{1}{x+3}) और (g(x)=\frac{1}{x-4}) हैं, तो ((f-g)(x)) का प्रांत क्या होगा?
If (f(x)=\frac{1}{x+3}) and (g(x)=\frac{1}{x-4}), what is the domain of ((f-g)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}\setminus{-3,4}\)
Concept
For subtraction, both functions must be defined, so (x=-3) and (x=4) are excluded. Always remove values making any denominator zero.
Why this answer is correct
The correct answer is A. \(\mathbb{R}\setminus{-3,4}\). For subtraction, both functions must be defined, so (x=-3) and (x=4) are excluded. Always remove values making any denominator zero.
Exam Tip
घटाव के लिए दोनों फलन परिभाषित होने चाहिए, इसलिए (x=-3) और (x=4) हटेंगे। हर शून्य कराने वाले मान हमेशा हटाएं।
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