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Sati [7]
4 years ago
12

which function results after applying the sequence of transformations to f(x)=x^5 reflect over the y axis ; shift 1 unit left ;

vertically compress by 1/3
Mathematics
2 answers:
Morgarella [4.7K]4 years ago
6 0
For this case we have the following function:
 f (x) = x ^ 5
 We apply the following transformations:
 reflect over the y axis:
 f (x) = (- x) ^ 5
 shift 1 unit left:
 f (x) = (- x + 1) ^ 5
 vertically compress by 1/3:
 f (x) = (1/3) (- x + 1) ^ 5
 Answer:
 
A function that results after applying the sequence of transformations is:
 
f (x) = (1/3) (- x + 1) ^ 5
Reika [66]4 years ago
5 0
The correct answer is f(x)=1/3(-x+1)^5. All the other answers show no reflect that match the f(x)=x^5.
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Identify The domain of the rational function, g(x)= 1/x+3
8_murik_8 [283]

Answer:

The domain is (-∞ , -3) ∪ (-3, ∞) ⇒ D

Step-by-step explanation:

<em>The domain of the rational fraction is t</em><em>he values of x which make the fraction defined</em><em>. That means </em><em>the domain does not contain the values of x which make the denominator equal to 0</em><em>.</em>

∵ g(x) = \frac{1}{x+3}

∴ The denominator = x + 3

→ Equate the denominator by 0

∵ x + 3 = 0

→ Subtract 3 from both sides

∴ x + 3 - 3 = 0 - 3

∴ x = -3

→ That means the domain can not have -3 because it makes the denominator

   equal to 0

∴ The domain is all values of real numbers except x = -3

∴ The domain = {x : x ∈ R, x ≠ -3}

∴ The domain = (-∞ , -3) ∪ (-3, ∞)

4 0
3 years ago
I added a picture : Determine which of the lines, if any, are parallel or perpendicular. Explain.
exis [7]

Answer:

1. line a and c and parallel. line b is perpendicular with line a and c. 2. line b and c and parallel. line a is perpendicular to lines b and c. 3. y= -3x + 3 4. y=(5/3)x - 9

Step-by-step explanation:

To find parallel and perpendicular, make the slope opposite and find b by plugging in the points. Parallel is the same slope.

5 0
3 years ago
Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
RoseWind [281]
The answers are A , B , C 

3 : 3 root 3

1: root 3

root 3 : 3
5 0
3 years ago
A3-b3=(a-b)(a2+an+b2) 64x6-27
olga nikolaevna [1]
<span>a³-b³=(a-b)(a²+ab+b²)

64x⁶ - 27

64 = 4³, 
x⁶ = (x²)³
27 = 3³

</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³.  Now, we can use a formula where a=4x², b=3

(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) =  (4x² -3)(16x⁴ +12x² + 9) 
<span>
Answer: </span>64x⁶ - 27=  (4x² -3)(16x⁴ +12x² + 9) <span>

</span>
4 0
3 years ago
Standard form: 10X - 7y = -8<br> slope-intercept form: ___________________
Eva8 [605]
Hope this help’s you out.

4 0
2 years ago
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