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 71-80 of 600 questions.
If (f(x)=x+9) and (g(x)=9-x), what will ((f+g)(x)) be?
B. (18)
((f+g)(x)=(x+9)+(9-x)=18)। (x) और (-x) कट जाते हैं। / ((f+g)(x)=(x+9)+(9-x)=18). The terms (x) and (-x) cancel out.
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If (f(x)=x-2+5x) and (g(x)=x-2+2x), what is ((f-g)(x))?
B. (3x)
((f-g)(x)=x-2+5x-\(x^2+2x\)=3x)। समान \(x^2\) पद कट जाते हैं। / ((f-g)(x)=x-2+5x-\(x^2+2x\)=3x). The like \(x^2\) terms cancel out.
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If (f(x)=x+7) and (g(x)=3x-2), what is the value of ((fg)(1))?
A. (8)
((fg)(1)=f(1)g(1)=8\cdot1=8)। पहले दोनों मान निकालें। / ((fg)(1)=f(1)g(1)=8\cdot1=8). First find both values.
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If (f(x)=x-2+10) and (g(x)=x-2+4), what is ((f-g)(1))?
C. (6)
((f-g)(1)=f(1)-g(1)=11-5=6)। यहाँ \(x^2\) पद प्रभावी रूप से कट जाते हैं। / ((f-g)(1)=f(1)-g(1)=11-5=6). Here the \(x^2\) terms effectively cancel.
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If (f(x)=6x+1) and (g(x)=2x+3), what will (\left\(\frac{f}{g}\right\)(0)) be?
A. \(\frac{1}{3}\)
(\left\(\frac{f}{g}\right\)(0)=\frac{1}{3})। हर (3) है, इसलिए भाग मान्य है। / (\left\(\frac{f}{g}\right\)(0)=\frac{1}{3}). The denominator is (3), so the quotient is valid.
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If (f(x)=\sqrt{x+5}) and (g(x)=x), what is the value of ((f+g)(4))?
C. (7)
((f+g)(4)=\sqrt{9}+4=3+4=7)। मूल वाले पद में पहले अंदर का मान निकालें। / ((f+g)(4)=\sqrt{9}+4=3+4=7). For a radical term, first find the inside value.
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If (f(x)=x-2+1) and (g(x)=\sqrt{x}), what will ((fg)(4)) be?
B. (34)
((fg)(4)=f(4)g(4)=17\cdot2=34)। अलग-अलग मान निकालना सबसे सुरक्षित तरीका है। / ((fg)(4)=f(4)g(4)=17\cdot2=34). Finding separate values is the safest method.
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If (f(x)=\frac{2}{x}) and (g(x)=x-2), what is the value of ((fg)(3))?
A. (6)
((fg)(3)=\frac{2}{3}\cdot9=6)। भिन्न फलन में \(x\neq0\) शर्त रहती है। / ((fg)(3)=\frac{2}{3}\cdot9=6). A reciprocal-type function keeps the condition \(x\neq0\).
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If (f(x)=x+12) and (g(x)=x+3), what is (\left\(\frac{f}{g}\right\)(3))?
A. \(\frac{5}{2}\)
(\left\(\frac{f}{g}\right\)(3)=\frac{15}{6}=\frac{5}{2})। अंतिम उत्तर को सरल भिन्न में लिखें। / (\left\(\frac{f}{g}\right\)(3)=\frac{15}{6}=\frac{5}{2}). Write the final answer in simplest fraction form.
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If (f(x)=x+4) and (g(x)=x-4), which identity is useful to simplify ((fg)(x))?
A. \(a^2-b^2\)
((x+4)(x-4)) में \(a^2-b^2\) लगता है। इससे उत्तर \(x^2-16\) मिलता है। / ((x+4)(x-4)) uses \(a^2-b^2\). It gives the answer \(x^2-16\).
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