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 21-30 of 600 questions.
If (f(x)=x-2+2x) and (g(x)=x-2-x), what is ((f-g)(x))?
A. (3x)
((f-g)(x)=x-2+2x-\(x^2-x\)=3x)। समान \(x^2\) पद कट जाते हैं। / ((f-g)(x)=x-2+2x-\(x^2-x\)=3x). The like \(x^2\) terms cancel out.
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If (f(x)=x+2) and (g(x)=2x+1), what is the value of ((fg)(0))?
A. (2)
((fg)(0)=f(0)g(0)=2\cdot1=2)। पहले दोनों फलनों का मान निकालें। / ((fg)(0)=f(0)g(0)=2\cdot1=2). First find the value of both functions.
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If (f(x)=x-2+3) and (g(x)=x-2-1), what is ((f-g)(2))?
A. (4)
((f-g)(2)=f(2)-g(2)=7-3=4)। कभी-कभी पहले सरल करने से समय बचता है। / ((f-g)(2)=f(2)-g(2)=7-3=4). Sometimes simplifying first saves time.
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If (f(x)=2x+1) and (g(x)=x-4), what is the value of ((f+g)(-1))?
A. (-8)
((f+g)(-1)=f(-1)+g(-1)=-1+(-5)=-6) नहीं, ध्यान दें (f(-1)=-1) और कुल (-6) है। सही विकल्प (-6) होना चाहिए। / ((f+g)(-1)=f(-1)+g(-1)=-1+(-5)=-6). Check signs carefully for negative input.
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If (f(x)=3x+2) and (g(x)=x+1), what is (\left\(\frac{f}{g}\right\)(1))?
A. \(\frac{5}{2}\)
(\left\(\frac{f}{g}\right\)(1)=\frac{f(1)}{g(1)}=\frac{5}{2})। हर का मान (2) है, इसलिए भाग संभव है। / (\left\(\frac{f}{g}\right\)(1)=\frac{f(1)}{g(1)}=\frac{5}{2}). The denominator value is (2), so division is allowed.
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If (f(x)=\sqrt{x}) and (g(x)=x+1), what is the value of ((f+g)(4))?
A. (7)
((f+g)(4)=\sqrt{4}+5=2+5=7)। मूल वाले फलन में परिभाषित मान ही रखें। / ((f+g)(4)=\sqrt{4}+5=2+5=7). For radical functions, substitute only defined values.
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If (f(x)=x-2) and (g(x)=\sqrt{x}), what is ((fg)(9))?
A. (243)
((fg)(9)=92\cdot\sqrt{9}=81\cdot3=243)। गुणन से पहले अलग-अलग मान निकालना आसान है। / ((fg)(9)=92\cdot\sqrt{9}=81\cdot3=243). Finding separate values first is easier.
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If (f(x)=\frac{1}{x}) and (g(x)=x), what is the value of ((fg)(2))?
A. (1)
((fg)(2)=\frac{1}{2}\cdot2=1)। भिन्न फलन में \(x\neq0\) शर्त याद रखें। / ((fg)(2)=\frac{1}{2}\cdot2=1). Remember the condition \(x\neq0\) for reciprocal functions.
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If (f(x)=x+6) and (g(x)=x+2), what is (\left\(\frac{f}{g}\right\)(0))?
A. (3)
(\left\(\frac{f}{g}\right\)(0)=\frac{6}{2}=3)। हर (0) नहीं है, इसलिए मान मान्य है। / (\left\(\frac{f}{g}\right\)(0)=\frac{6}{2}=3). The denominator is not (0), so the value is valid.
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If (f(x)=x-1) and (g(x)=x+1), which identity simplifies ((fg)(x))?
A. \(a^2-b^2\)
((x-1)(x+1)) में \(a^2-b^2\) पहचान लगती है। इससे ((fg)(x)=x-2-1) मिलता है। / The identity \(a^2-b^2\) applies to ((x-1)(x+1)). It gives ((fg)(x)=x-2-1).
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