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 41-50 of 600 questions.
If (f(x)=3x-2+1) and (g(x)=x-2-4), what is ((f-g)(x))?
A. \(2x^2+5\)
((f-g)(x)=3x-2+1-\(x^2-4\)=2x-2+5)। ऋण को अंदर के दोनों पदों पर लगाएँ। / ((f-g)(x)=3x-2+1-\(x^2-4\)=2x-2+5). Apply the minus sign to both inner terms.
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If (f(x)=x+1) and (g(x)=2), what is ((fg)(x))?
A. (2x+2)
((fg)(x)=(x+1)\cdot2=2x+2)। स्थिर फलन से गुणा करने पर हर पद गुणित होता है। / ((fg)(x)=(x+1)\cdot2=2x+2). Multiplying by a constant function multiplies every term.
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If (f(x)=8x+4) and (g(x)=4), what is (\left\(\frac{f}{g}\right\)(x))?
A. (2x+1)
(\left\(\frac{f}{g}\right\)(x)=\frac{8x+4}{4}=2x+1)। अंश के हर पद को (4) से भाग दें। / (\left\(\frac{f}{g}\right\)(x)=\frac{8x+4}{4}=2x+1). Divide every numerator term by (4).
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If (f(x)=x-7) and (g(x)=7-x), what is ((f+g)(x))?
A. (0)
((f+g)(x)=(x-7)+(7-x)=0)। ये फलन एक-दूसरे के योगात्मक प्रतिलोम हैं। / ((f+g)(x)=(x-7)+(7-x)=0). These functions are additive inverses of each other.
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If (f(x)=2x+5) and (g(x)=2x-5), what is ((f-g)(x))?
A. (10)
((f-g)(x)=2x+5-(2x-5)=10)। (x) पद कट जाते हैं। / ((f-g)(x)=2x+5-(2x-5)=10). The (x) terms cancel out.
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If (f(x)=x-2) and (g(x)=x-3), what is ((fg)(x))?
A. \(x^5\)
((fg)(x)=x-2\cdot x-3=x-5)। समान आधार के गुणन में घातें जुड़ती हैं। / ((fg)(x)=x-2\cdot x-3=x-5). In multiplication with the same base, powers are added.
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If (f(x)=x-4) and (g(x)=x-2), what is (\left\(\frac{f}{g}\right\)(x)), where \(x\neq0\)?
A. \(x^2\)
(\left\(\frac{f}{g}\right\)(x)=\frac{x-4}{x-2}=x-2), जहाँ \(x\neq0\)। समान आधार में भाग करते समय घातें घटती हैं। / (\left\(\frac{f}{g}\right\)(x)=\frac{x-4}{x-2}=x-2), where \(x\neq0\). In division with the same base, powers are subtracted.
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If (f(x)=x+1) and (g(x)=x+2), what is the domain of ((f+g)(x)), if both have domain \(\mathbb{R}\)?
A. \(\mathbb{R}\)
दोनों रैखिक फलन पूरे \(\mathbb{R}\) पर परिभाषित हैं, इसलिए योग का डोमेन भी \(\mathbb{R}\) है। डोमेन में साझा मान देखें। / Both linear functions are defined on all \(\mathbb{R}\), so the domain of the sum is also \(\mathbb{R}\). Check common allowed values for domain.
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If (f(x)=\frac{1}{x}) and (g(x)=x+1), 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। साझा डोमेन लें। / In \(\frac{1}{x}\), (x=0) is not allowed, so the domain of the sum is \(\mathbb{R}-{0}\). Take the common domain.
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If (f(x)=x+1) and (g(x)=x-3), what will be the domain of (\left\(\frac{f}{g}\right\)(x))?
A. \(\mathbb{R}-{3}\)
भाग में हर (g(x)=x-3) शून्य नहीं होना चाहिए, इसलिए \(x\neq3\)। अतः डोमेन \(\mathbb{R}-{3}\) है। / In division, the denominator (g(x)=x-3) must not be zero, so \(x\neq3\). Hence the domain is \(\mathbb{R}-{3}\).
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