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If (f(x)=\frac{1}{x-3}) and (g(x)=x^2-9), what is the domain of (fg)?यदि (f(x)=\frac{1}{x-3}) और (g(x)=x^2-9) हैं, तो (fg) का डोमेन क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}-{3} )( \mathbb{R}-{3} )
For product, the domain is the intersection of original domains, so only (x=3) is excluded. Check the original domain before simplifying.गुणन में डोमेन (f) और (g) के डोमेन का प्रतिच्छेद होता है, इसलिए केवल (x=3) हटेगा। सरलीकरण से पहले मूल डोमेन देखना जरूरी है।
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