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 11-20 of 600 questions.
If (f(x)=2x) and (g(x)=x-2), what is ((fg)(x))?
A. \(2x^3\)
((fg)(x)=2x\cdot x-2=2x-3)। समान आधार में घातें जुड़ती हैं। / ((fg)(x)=2x\cdot x-2=2x-3). For the same base, powers are added in multiplication.
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If (f(x)=6x-2) and (g(x)=3x), what is (\left\(\frac{f}{g}\right\)(x)), where \(x\neq0\)?
A. (2x)
(\left\(\frac{f}{g}\right\)(x)=\frac{6x-2}{3x}=2x), क्योंकि \(x\neq0\)। भाग में पहले शर्त जाँचें। / (\left\(\frac{f}{g}\right\)(x)=\frac{6x-2}{3x}=2x), because \(x\neq0\). In quotient questions, check the condition first.
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If (f(x)=x+4), what is ((2f)(x))?
A. (2x+8)
((2f)(x)=2f(x)=2(x+4)=2x+8)। स्थिर गुणन में हर पद से गुणा करें। / ((2f)(x)=2f(x)=2(x+4)=2x+8). In scalar multiplication, multiply every term.
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If (f(x)=3x-2), what is ((-f)(x)) equal to?
A. (-3x+2)
((-f)(x)=-f(x)=-(3x-2)=-3x+2)। ऋण पूरे फलन पर लगता है। / ((-f)(x)=-f(x)=-(3x-2)=-3x+2). The negative sign applies to the whole function.
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If (f(x)=x-2), what is ((f+f)(x))?
A. \(2x^2\)
((f+f)(x)=x-2+x-2=2x-2)। समान पदों को जोड़ें, घातों को नहीं। / ((f+f)(x)=x-2+x-2=2x-2). Add like terms, not the powers.
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If (f(x)=x+1), what is ((ff)(x))?
A. \(x^2+2x+1\)
((ff)(x)=f(x)f(x)=(x+1)2=x-2+2x+1)। ((ff)(x)) को ((f+f)(x)) न समझें। / ((ff)(x)=f(x)f(x)=(x+1)2=x-2+2x+1). Do not confuse ((ff)(x)) with ((f+f)(x)).
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If (f(x)=x+5) and (g(x)=x+5), what is ((f-g)(x))?
A. (0)
दोनों फलन समान हैं, इसलिए ((f-g)(x)=(x+5)-(x+5)=0)। समान फलनों का अंतर शून्य होता है। / Both functions are equal, so ((f-g)(x)=(x+5)-(x+5)=0). The difference of equal functions is zero.
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If (f(x)=0) and (g(x)=x-2+3), what is ((f+g)(x))?
A. \(x^2+3\)
शून्य फलन जोड़ने से फलन नहीं बदलता, इसलिए ((f+g)(x)=x-2+3)। यह योग का पहचान गुण है। / Adding the zero function does not change the function, so ((f+g)(x)=x-2+3). This is the identity property of addition.
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If (f(x)=1) and (g(x)=x-2-2x), what is ((fg)(x))?
A. \(x^2-2x\)
एकक फलन (1) से गुणा करने पर ((fg)(x)=g(x)) रहता है। गुणन में (1) पहचान तत्व है। / Multiplying by the unit function (1) gives ((fg)(x)=g(x)). In multiplication, (1) is the identity element.
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If (f(x)=x-2) and (g(x)=x+2), what is ((f+g)(x))?
A. (2x)
((f+g)(x)=(x-2)+(x+2)=2x)। विपरीत स्थिर पद कट जाते हैं। / ((f+g)(x)=(x-2)+(x+2)=2x). Opposite constant terms cancel out.
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