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اختبار إلكتروني: Operations on Functions

Operations on functions allow us to create new functions from existing ones using standard algebraic operations. When adding or subtracting functions, we combine like terms. When multiplying, we use the distributive property or FOIL method for binomials. For division, we divide the expressions and simplify by factoring where possible, keeping in mind domain restrictions where the denominator cannot be zero. These concepts are essential for understanding how complex mathematical models are constructed from simpler functional components.
رقم الاختبار 830
الصف الحادي عشر
المادة رياضيات
الفصل الفصل الثالث
السنة الدراسية 2025/2026
عدد الأسئلة 15
إجمالي النقاط 15
تاريخ الإضافة 2026-04-21
الزيارات 47
المعلم أو الناشر Wayground
اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
Question 1
Points: 1
Given \(f(x) = 3x^2 + 7x\) and \(g(x) = 2x^2 - x - 1\), find \((f + g)(x)\).
Question 2
Points: 1
Given \(f(x) = 3x^2 + 7x\) and \(g(x) = 2x^2 - x - 1\), find \((f - g)(x)\).
Question 3
Points: 1
Given \(f(x) = 3x^2 - 2x + 1\) and \(g(x) = x - 4\), find \((fg)(x)\).
Question 4
Points: 1
Given \(f(x) = x^2 - 2x + 1\) and \(g(x) = x - 1\). Find \((f/g)(x)\)?
Question 5
Points: 1
Given \(g(x) = 6x + 4\) and \(f(x) = 2x - 7\). Find \((fg)(x)\).
Question 6
Points: 1
Given \(g(x) = 6x + 4\) and \(f(x) = 2x - 7\), find \(g(x) - f(x)\).
Question 7
Points: 1
Given \(f(x) = 2x^2 + 2x\) and \(g(x) = x + 1\), find \((fg)(x)\).
Question 8
Points: 1
Given \(f(x) = x^2 + 5x + 6\) and \(g(x) = 2x + 4\), find \((f/g)(x)\).
Question 9
Points: 1
Given \(f(x) = 3x^2\) and \(g(x) = 7 - x\), find \((g - f)(x)\).
Question 10
Points: 1
Given \(f(x) = x + 2\) and \(g(x) = x^2 - 4\), find \((f/g)(x)\).
Question 11
Points: 1
Given \(f(x) = x^2 - 7x + 2\) and \(g(x) = 5x^2 - 8x - 9\), find \((f - g)(x)\).
Question 12
Points: 1
Given \(f(x) = x^2 + 4\) and \(g(x) = x^3 - 4\), find \((fg)(x)\).
Question 13
Points: 1
Given \(f(x) = x^2 + 7x + 12\) and \(g(x) = x^2 - 9\), find \((f/g)(x)\).
Question 14
Points: 1
Given \(f(x) = x^2 + 2x - 8\) and \(g(x) = 6x^2 - 10x + 3\), find \((f + g)(x)\).
Question 15
Points: 1
Given \(f(x) = x^2 - 15x + 50\) and \(g(x) = x^2 - 7x + 10\), find \((g/f)(x)\).

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