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 61-70 of 600 questions.
If (f(x)=x-3) and (g(x)=2x), what will ((fg)(x)) be?
C. \(2x^4\)
((fg)(x)=x-3\cdot2x=2x-4)। समान आधार में गुणा करते समय घातें जोड़ें। / ((fg)(x)=x-3\cdot2x=2x-4). Add powers when multiplying the same base.
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If (f(x)=10x-3) and (g(x)=5x), what is (\left\(\frac{f}{g}\right\)(x)), where \(x\neq0\)?
A. \(2x^2\)
(\left\(\frac{f}{g}\right\)(x)=\frac{10x-3}{5x}=2x-2), जहाँ \(x\neq0\)। भाग में घातें घटती हैं। / (\left\(\frac{f}{g}\right\)(x)=\frac{10x-3}{5x}=2x-2), where \(x\neq0\). In division, powers are subtracted.
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If (f(x)=x-8), what is ((3f)(x))?
C. (3x-24)
((3f)(x)=3(x-8)=3x-24)। स्थिर गुणक को सभी पदों से गुणा करें। / ((3f)(x)=3(x-8)=3x-24). Multiply all terms by the scalar.
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If (f(x)=4x+6), what will (\left\(\frac{1}{2}f\right\)(x)) be?
A. (2x+3)
(\left\(\frac{1}{2}f\right\)(x)=\frac{1}{2}(4x+6)=2x+3)। भिन्न गुणक को हर पद पर लगाएँ। / (\left\(\frac{1}{2}f\right\)(x)=\frac{1}{2}(4x+6)=2x+3). Apply the fractional multiplier to every term.
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If (f(x)=2x-2-5), what is ((-f)(x)) equal to?
A. \(-2x^2+5\)
((-f)(x)=-\(2x^2-5\)=-2x-2+5)। ऋण चिह्न पूरे फलन पर लगता है। / ((-f)(x)=-\(2x^2-5\)=-2x-2+5). The negative sign applies to the whole function.
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If (f(x)=x-2+4x), what will ((f+f)(x)) be?
B. \(2x^2+8x\)
((f+f)(x)=2f(x)=2x-2+8x)। समान फलन जोड़ना (2f) के बराबर है। / ((f+f)(x)=2f(x)=2x-2+8x). Adding the same function equals (2f).
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If (f(x)=x-3), what is ((ff)(x))?
C. \(x^2-6x+9\)
((ff)(x)=f(x)f(x)=(x-3)2=x-2-6x+9)। ((ff)(x)) को ((f+f)(x)) न मानें। / ((ff)(x)=f(x)f(x)=(x-3)2=x-2-6x+9). Do not treat ((ff)(x)) as ((f+f)(x)).
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If (f(x)=2x+10) and (g(x)=2x+10), what is ((f-g)(x))?
A. (0)
समान फलनों का अंतर (0) होता है, इसलिए ((f-g)(x)=0)। परीक्षा में पहले पहचानें कि दोनों फलन समान हैं। / The difference of equal functions is (0), so ((f-g)(x)=0). In exams, first notice if both functions are equal.
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If (f(x)=0) and (g(x)=3x-2-2), what will ((fg)(x)) be?
B. (0)
शून्य फलन से गुणा करने पर ((fg)(x)=0) होता है। गुणन में (0) पूरे गुणनफल को शून्य कर देता है। / Multiplying by the zero function gives ((fg)(x)=0). In multiplication, (0) makes the whole product zero.
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If (f(x)=1) and (g(x)=5x-6), what is ((f+g)(x))?
A. (5x-5)
((f+g)(x)=1+(5x-6)=5x-5)। स्थिर पदों को ध्यान से जोड़ें। / ((f+g)(x)=1+(5x-6)=5x-5). Add constant terms carefully.
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