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منتدى الملخصات والمواضيع المميزة قسم خاص يتم نقل المواضيع المميزة و الملخصات والملفات المهمه الخاصة بملتقى المسار العلمي انتظام

•ஜ• تـَجمُعْ لـ مآدة الـMath ..استفسآر/نقآش/مسآعده في H.W OnLine ..•’•

منتدى الملخصات والمواضيع المميزة

 
 
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قديم 05-11-2010, 01:58 PM   #11

علوش الغامدي

جامعي

الصورة الرمزية علوش الغامدي

 
تاريخ التسجيل: Oct 2010
التخصص: تربيه خاصه
نوع الدراسة: تحضيري علمي خطة أ
المستوى: الثالث
الجنس: ذكر
المشاركات: 120
افتراضي رد: •ஜ• تـَجمُعْ لـ مآدة الـMath ..استفسآر/نقآش/مسآعده في H.W OnLine ..•’•

المشاركة الأصلية كتبت بواسطة haioof مشاهدة المشاركة
the graph of the function is given in blue. Use transformations to create the function whose graph is shown in red.
Y = sqrt(2 x - x^2)
y =
1
maple generated plot maple generated plot

your work in question(s) 9 will also be submitted or saved.
5. –/8 points notes question: Scalcet6m 1.3.029.
Question part
points
submissions
1 2 3 4 5 6 7 8
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/5 0/5 0/5 0/5 0/5 0/5 0/5 0/5
total
0/8

find each of the following functions and state their domains.
F(x) = x3 + 3x2
g(x) = 5x2 - 2
(a) f + g =
1

2
reals (0, infinity) x -3 x != +/-sqrt(2/5)

(b) f - g =
3

4
reals (0, infinity) x -3 x != +/-sqrt(2/5)

(c) fg =
5

6
reals (0, infinity) x -3 x != +/-sqrt(2/5)

(d) f/g =
7

8
reals (0, infinity) x -3 x != +/-sqrt(2/5)

need help? Watch it

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6. –/8 points notes question: Scalcet6m 1.3.031.
Question part
points
submissions
1 2 3 4 5 6 7 8
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/5 0/5 0/5 0/5 0/5 0/5 0/5 0/5
total
0/8

find each of the following functions and their domains.
F(x) = x2 - 5
g(x) = 2x - 1
(a) f compose g =
1

2
x > 2 x 5 (-infinity, 1] (-infinity, infinity)

(b) g compose f =
3

4
x 5 x > 2 (-infinity, infinity) (-infinity, 1]

(c) f compose f =
5

6
(-infinity, 1] (-infinity, infinity) x 5 x > 2

(d) g compose g =
7

8
(-infinity, infinity) (-infinity, 1] x > 2 x 5

need help? Watch it

your work in question(s) 9 will also be submitted or saved.
7. –/8 points notes question: Scalcet6m 1.3.033.
Question part
points
submissions
1 2 3 4 5 6 7 8
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
0/5 0/5 0/5 0/5 0/5 0/5 0/5 0/5
total
0/8

find each of the following functions and their domains.
F(x) = 4 - 4x
g(x) = cos(x)
(a) f compose g =
1

2
x > 4 (-infinity, 4] x 0 (-infinity, infinity)


(b) g compose f =
3

4
(-infinity, 4] x > 4 (-infinity, infinity) x 0


(c) f compose f =
5

6
(-infinity, 4] x 0 x > 4 (-infinity, infinity)


(d) g compose g =
7

8
x 0 (-infinity, infinity) (-infinity, 4] x > 4

your work in question(s) 9 will also be submitted or saved.
8. –/8 points notes question: Scalcet6m 1.3.036.
Question part
points
submissions
1 2 3 4 5 6 7 8
0/1 0/1 0/1 0/1 0/1 0/1 0/1 0/1
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0/8

find each of the following functions and their domains.
F(x) = x/(7 + x)
g(x) = sin(3 x)
(a) f compose g =
1

2
x != -7 text( and ) x != -49/8 r x != -7 \(-1, 1\)

(b) g compose f =
3

4
r x != -7 x != -7 text( and ) x != -49/8 \(-1, 1\)

(c) f compose f =
5

6
x != -7 x != -7 text( and ) x != -49/8 r \(-1, 1\)

(d) g compose g =
7

8
r x != -7 text( and ) x != -49/8 x != -7 \(-1, 1\)

your work in question(s) 9 will also be submitted or saved.
9. 0/1 points all submissions notes question: Scalcet6m 1.3.039.mi.
Question part
points
submissions
1 2 3 4 5 6
0/1 0 0 0 0 0
1/5 0/5 0/5 0/5 0/5 0/5
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0/1

find f compose g compose h.
F(x) = √x − 1
g(x) = x2
h(x) = x3 + 3
1
your answer was incorrect, but has changed from what was graded.


Need help? Master it

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10. –/2 points notes question: Scalcet6m 1.3.042.
Question part
points
submissions
1 2
0/1 0/1
0/5 0/5
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0/2

express the function in the form f compose g. (use only elementary functions, but not the identity function, g(x) = x.)
f(x) = csc(√x)
f(x) =
1

g(x) =
2

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11. –/2 points notes question: Scalcet6m 1.3.045.
Question part
points
submissions
1 2
0/1 0/1
0/5 0/5
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0/2

express the function in the form f compose g. (use only elementary functions, but not the identity function, g(x) = x.)
u(t) = sqrt(cos(t)
f (t) =
1

g(t) =
2

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12. –/3 points notes question: Scalcet6m 1.3.048.
Question part
points
submissions
1 2 3
0/1 0/1 0/1
0/5 0/5 0/5
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0/3

express the function in the form f compose g compose h. (use only elementary functions, but not the identity function, g(x) = x.)
h(x) = root9(1 + abs(x))
f(x) =
1

g(x) =
2

h(x) =
3

need help? Watch it

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13. –/6 points notes question: Scalcet6m 1.3.051.
Question part
points
submissions
1 2 3 4 5 6
0/1 0/1 0/1 0/1 0/1 0/1
0/5 0/5 0/5 0/5 0/5 0/5
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0/6

use the given graphs of f and g to evaluate each expression, or if the expression is undefined, enter undefined.
(a) f(g(2)) = 1

(b) g(f(0)) = 2

(c) (f compose g)(0) = 3

(d) (g compose f)(6) = 4

(e) (g compose g)(-2) = 5

(f) (f compose f)(4) = 6


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14. –/2 points notes question: Scalcet6m 1.3.061.
Question part
points
submissions
1 2
0/1 0/1
0/5 0/5
total
0/2

(a) if g(x) = 3x + 2 and h(x) = 9x2 + 12x + 9, find a function f such that f compose g = h. (think about what operations you would have to perform on the formula for g to end up with the formula for h.)
f =
1


(b) if f(x) = 4x + 9 and h(x) = 4x2 + 4x + 5, find a function g such that f compose g = h.
G(x) =
2

need help? Watch it

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15. –/4 points notes question: Scalcet6m 1.3.063.
Question part
points
submissions
1 2 3 4
0/1 0/1 0/1 0/1
0/5 0/5 0/5 0/5
total
0/4

(a) suppose f and g are even functions.
(i) f + g is 1.
(ii) fg is 2.

(b) what if f and g are both odd?
(i) f + g is 3.
(ii) fg is 4.

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