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Operations with rational functions- A2
Contribuição de: Lalime
Perform the indicated operations and simplify:
15x-15
State the Domain of the expression:
All real numbers; x≠
9
Answers:
   3
    9
15(x-1)
5(x-1)
   9
    1
5(3x-3)
   x+5
Perform the indicated operations and simplify:
-4x+8
x2+2x
State the Domain of the expression:
All real numbers; x≠
Answers:
x(x+2)
x(x+2)
-4(x-2)
4(x+2)
(x2+2)
x(x-2)
-4(x-2)
-4(x+2)
Perform the indicated operations and simplify:
3x+15
2x2+10x
State the Domain of the expression:
All real numbers; x≠
Answers:
  2x
   2x
3(x+5)
   3x
   2x
    2
     3
3x(x+5)
Perform the indicated operations and simplify:
x2+9x+20
x2+5x+4
All real numbers; x≠
State the Domain of the expression:
Answers:
Put the LOWEST value  first
x(x+2)
  x+4
-4(x-5)
x(x+20)
x≠
(x2+4)
 x+1
(x2+20)
   x+5
Perform the indicated operations and simplify:
x2+8x+15
x2+x-6
All real numbers; x≠
State the Domain of the expression:
Put the LOWEST value first
Answers:
(x-2)
(x-2)
(x-5)
(x+5)
x≠
(x+2)
x(x-6)
8(x-5)
-3(x-5)
Perform the indicated operations and simplify:
2x+6
x+2
State the Domain of the expression:
All real numbers; x≠
Answers:
(x+2)
(x+2)
2(x-3)
(x+6)
(x+2)
x+2
6(x+2)
2(x+3)
Perform the indicated operations and simplify:
x2+4x+4
x+1
-
x2-4
2
Answers:
x2-3x-6
(x+1)
(x+2)
(x+4)
x2-3x-6
(x+2)2 (x-2)
x+2
(x+2)(x-2)
Perform the indicated operations and simplify:
4x2
6
+
Answers:
5x
2
4x+15
   8
20x3
10x2
   12
     20x3
   8
10x2
Perform the indicated operations and simplify:
4x2
6
Answers:
5x
2
4x+15
   8
20x3
10x2
   12
     20x3
   8
10x2
Perform the indicated operations and simplify:
4x2
6
÷
Answers:
5x
2
    15 
 15x
4x2
4x
   15
     4x2
 15x
 4x
Answers:
Perform the indicated operations:
Given: f(x)=
Find:  f(x) ∙g(x)
x4-x3-10x2+4x+24
    6
x2-4
2
    5
2x2-x-10
g(x)=
x2-x-6
3
(x-2)(x-3)
    6
Answers:
Perform the indicated operations:
Given: f(x)=
Find:  f(x) ÷ g(x)
    2
3
x2-4
2
    2(x-2)
g(x)=
3(x-3)
x2-x-6
3
    2x-6
3x-6
Answers:
Perform the indicated operations:
Given: f(x)=
Find:  f(x) + g(x)
(x+2)(x-2)(x-3)
    5x
x2-4
2
(x-2)(x-3)(x+2)
    5x-12
g(x)=
x2-x-6
(x-3)(x-2)(X+2)
3
   -17x
Answers:
Perform the indicated operations:
Given: f(x)=
Find:  f(x) - g(x)
(x+2)(x-2)(x-3)
  -x
x2-4
2
(x-2)(x-3)(x+2)
    -5x-4
g(x)=
x2-x-6
(x-3)(x-2)(X+2)
3
   -3x-8
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