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 91-100 of 600 questions.
If (f(x)=4x-2-3) and (g(x)=x-2+8), what will ((f-g)(x)) be?
B. \(3x^2-11\)
((f-g)(x)=4x-2-3-\(x^2+8\)=3x-2-11)। कोष्ठक के बाद स्थिर पदों पर ध्यान दें। / ((f-g)(x)=4x-2-3-\(x^2+8\)=3x-2-11). Pay attention to constant terms after brackets.
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If (f(x)=x-5) and (g(x)=3), what is ((fg)(x))?
A. (3x-15)
((fg)(x)=(x-5)\cdot3=3x-15)। स्थिर फलन से गुणा में सभी पद गुणित होते हैं। / ((fg)(x)=(x-5)\cdot3=3x-15). Multiplication by a constant function multiplies all terms.
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If (f(x)=12x-6) and (g(x)=6), what is (\left\(\frac{f}{g}\right\)(x))?
A. (2x-1)
(\left\(\frac{f}{g}\right\)(x)=\frac{12x-6}{6}=2x-1)। अंश के हर पद को (6) से भाग दें। / (\left\(\frac{f}{g}\right\)(x)=\frac{12x-6}{6}=2x-1). Divide every numerator term by (6).
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If (f(x)=2x-11) and (g(x)=11-2x), what will ((f+g)(x)) be?
A. (0)
((f+g)(x)=(2x-11)+(11-2x)=0)। ये दोनों फलन योगात्मक प्रतिलोम हैं। / ((f+g)(x)=(2x-11)+(11-2x)=0). These two functions are additive inverses.
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If (f(x)=3x+8) and (g(x)=3x-8), what is ((f-g)(x))?
B. (16)
((f-g)(x)=3x+8-(3x-8)=16)। (3x) पद कट जाते हैं। / ((f-g)(x)=3x+8-(3x-8)=16). The (3x) terms cancel out.
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If (f(x)=x-5) and (g(x)=x-2), what is ((fg)(x))?
A. \(x^7\)
((fg)(x)=x-5\cdot x-2=x-7)। समान आधार में गुणा करते समय घातों को जोड़ें। / ((fg)(x)=x-5\cdot x-2=x-7). Add powers while multiplying the same base.
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If (f(x)=x-6) and (g(x)=x-3), what will (\left\(\frac{f}{g}\right\)(x)) be, where \(x\neq0\)?
B. \(x^3\)
(\left\(\frac{f}{g}\right\)(x)=\frac{x-6}{x-3}=x-3), जहाँ \(x\neq0\)। भाग में समान आधार की घातें घटाएँ। / (\left\(\frac{f}{g}\right\)(x)=\frac{x-6}{x-3}=x-3), where \(x\neq0\). In division, subtract powers of the same base.
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If (f(x)=2x+1) and (g(x)=x-2+3), both have domain \(\mathbb{R}\), what is the domain of ((fg)(x))?
A. \(\mathbb{R}\)
दोनों बहुपद पूरे \(\mathbb{R}\) पर परिभाषित हैं, इसलिए गुणनफल का डोमेन \(\mathbb{R}\) है। डोमेन सामान्य मानों का समुच्चय होता है। / Both polynomials are defined on all \(\mathbb{R}\), so the product domain is \(\mathbb{R}\). The domain is the set of common allowed values.
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If (f(x)=\sqrt{x}) and (g(x)=x+2), what is the domain of ((f+g)(x))?
A. \([0,\infty\))
\(\sqrt{x}\) के लिए \(x\geq0\) चाहिए, इसलिए योग का डोमेन \([0,\infty\)) है। साझा डोमेन लें। / For \(\sqrt{x}\), we need \(x\geq0\), so the domain of the sum is \([0,\infty\)). Take the common domain.
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If (f(x)=x+4) and (g(x)=x-2-9), what is the domain of (\left\(\frac{f}{g}\right\)(x))?
A. \(\mathbb{R}-{-3,3}\)
भाग में (g(x)\neq0) चाहिए, और \(x^2-9=0\) से \(x=\pm3\) मिलता है। इसलिए डोमेन \(\mathbb{R}-{-3,3}\) है। / In division, (g(x)\neq0) is needed, and \(x^2-9=0\) gives \(x=\pm3\). So the domain is \(\mathbb{R}-{-3,3}\).
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