Practice focused topic-wise MCQs with answers and explanations for quick revision and exam preparation.
Difficulty select karke sirf is topic ke focused MCQs practice karein. Score, timer aur explanations student-friendly flow me milenge.
Showing 121-130 of 600 questions.
If (f(x)=x-2) and (g(x)=2x), what is ((f-g)(2))?
A. (0)
(f(2)=4) और (g(2)=4), इसलिए अंतर (0) है। समान मान मिलने पर घटाव शून्य होगा। / (f(2)=4) and (g(2)=4), so the difference is (0). If the values are equal, their difference is zero.
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If (f(x)=\sqrt{x-1}) and (g(x)=x), what is the real domain of ((fg)(x))?
A. \([1,\infty\))
\(\sqrt{x-1}\) के लिए \(x-1\ge 0\), यानी \(x\ge 1\)। गुणन का डोमेन दोनों डोमेन का प्रतिच्छेद होता है। / For \(\sqrt{x-1}\), \(x-1\ge 0\), so \(x\ge 1\). The product domain is the intersection of both domains.
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If (f(x)=x+1) and (g(x)=\frac{1}{x}), what is the domain of ((f+g)(x))?
A. \(\mathbb{R}-{0}\)
\(\frac{1}{x}\) में (x=0) मान्य नहीं है। इसलिए योग का डोमेन \(\mathbb{R}-{0}\) है। / In \(\frac{1}{x}\), (x=0) is not allowed. Therefore the domain of the sum is \(\mathbb{R}-{0}\).
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If (f(x)=\frac{x}{x+2}) and (g(x)=x-1), which value is excluded from the domain of ((fg)(x))?
A. (-2)
(x+2=0) से (x=-2) पर (f(x)) अपरिभाषित है। गुणन में भी यह मान हटेगा। / Since (x+2=0) gives (x=-2), (f(x)) is undefined there. This value is also excluded in the product.
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If (f(x)=2x-2) and (g(x)=x-2+3), what is ((f+g)(x))?
A. \(3x^2+3\)
((f+g)(x)=2x-2+\(x^2+3\)=3x-2+3)। समान घात वाले पद ही जोड़े जाते हैं। / ((f+g)(x)=2x-2+\(x^2+3\)=3x-2+3). Only terms with the same power are combined.
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If (f(x)=x-2+5) and (g(x)=x-2-2), what is ((f-g)(x))?
A. (7)
(\(x^2+5\)-\(x^2-2\)=7)। दूसरे कोष्ठक के दोनों पदों के चिह्न बदलते हैं। / (\(x^2+5\)-\(x^2-2\)=7). Both signs inside the second bracket change.
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If (f(x)=x+2) and (g(x)=x+3), what is the constant term in ((fg)(x))?
A. (6)
((x+2)(x+3)=x-2+5x+6), इसलिए स्थिर पद (6) है। स्थिर पद अक्सर स्थिरों के गुणन से मिलता है। / ((x+2)(x+3)=x-2+5x+6), so the constant term is (6). The constant term often comes from multiplying constants.
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If (f(x)=4) and (g(x)=x-2-1), what is ((f-g)(x))?
A. \(5-x^2\)
((f-g)(x)=4-\(x^2-1\)=5-x-2)। कोष्ठक हटाते समय ऋण चिह्न का ध्यान रखें। / ((f-g)(x)=4-\(x^2-1\)=5-x-2). Watch the minus sign while removing brackets.
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If (f(x)=x-1) and (g(x)=3x+2), what is ((g-f)(x))?
A. (2x+3)
((g-f)(x)=g(x)-f(x)=(3x+2)-(x-1)=2x+3)। क्रम बदलने से अंतर बदल सकता है। / ((g-f)(x)=g(x)-f(x)=(3x+2)-(x-1)=2x+3). Changing the order can change the difference.
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If (f(x)=x-2) and (g(x)=x), what is the value of ((f-g)(-2))?
A. (6)
(f(-2)=4) और (g(-2)=-2), इसलिए (4-(-2)=6)। ऋणात्मक संख्या घटाते समय जोड़ बनता है। / (f(-2)=4) and (g(-2)=-2), so (4-(-2)=6). Subtracting a negative number becomes addition.
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