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wolverine [178]
2 years ago
5

Find the domain and the range of f(x)=2-x+sin x

Mathematics
1 answer:
stellarik [79]2 years ago
8 0
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.<span><span>(<span><span>−∞</span>,∞</span>)</span><span><span>-∞</span>,∞</span></span><span><span>{<span>x|x∈R</span>}</span><span>x|x∈ℝ</span></span>Find the magnitude of the trig term <span><span>sin<span>(x)</span></span><span>sinx</span></span> by taking the absolute value of the coefficient.<span>11</span>The lower bound of the range for sine is found by substituting the negative magnitude of the coefficient into the equation.<span><span>y=<span>−1</span></span><span>y=<span>-1</span></span></span>The upper bound of the range for sine is found by substituting the positive magnitude of the coefficient into the equation.<span><span>y=1</span><span>y=1</span></span>The range is <span><span><span>−1</span>≤y≤1</span><span><span>-1</span>≤y≤1</span></span>.<span><span>[<span><span>−1</span>,1</span>]</span><span><span>-1</span>,1</span></span><span><span>{<span>y|<span>−1</span>≤y≤1</span>}</span><span>y|<span>-1</span>≤y≤1</span></span>Determine the domain and range.Domain: <span><span><span>(<span><span>−∞</span>,∞</span>)</span>,<span>{<span>x|x∈R</span>}</span></span><span><span><span>-∞</span>,∞</span>,<span>x|x∈ℝ</span></span></span>Range: <span><span>[<span><span>−1</span>,1</span>]</span>,<span>{<span>y|<span>−1</span>≤y≤1</span><span>}

</span></span></span>
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Really need help on this , thanks so much! (:
Mazyrski [523]
-2y>12x-42
y<21-6x
so a is true
7 0
3 years ago
What is the product of -2x^3+x-5 and x^3-3x-4 ?
murzikaleks [220]
To find the product of <span>-2x^3+x-5 and x^3-3x-4, we need to multiply each term in the first polynomial by the second polynomial. (So, x^3 - 3x - 4) times ....
-2x^3 = -2x^6 + 6x^4 + 8x^3
x = x^4 - 3x^2 - 4x
-5 = -5x^3 + 15x + 20
If we add all these together, we get (-2x^6 + 7x^4 + 3x^3 - 3x^2 + 11x + 20)</span>
6 0
3 years ago
If there are 10 billion transistors (each of a square shape) uniformly (without space) distributed on a silicon chip with the sq
Karo-lina-s [1.5K]

Answer:

the transistors have L=1 mm of linear size

Step-by-step explanation:

For the silicon chip the area is A=1 cm² and for the transistors the area is At=L² (L=linear size) . Then since N= 10 billion transistors of area At should fit in the area A

A=N*At

A=N*L²

solving for L

L= √(A/N)

Assuming that 1 billion=10⁹ (short scale version of billion), then

L= √(A/N) = √(1 cm²/10⁹) = 1 cm / 10³ = 1 mm

then the transistors have L=1 mm of linear size

4 0
3 years ago
Which function is equivalent to y = 3(x + 2)2 + 7?
Tems11 [23]

Answer:

The answer is D

Step-by-step explanation:

I wish i can explan but i got to go, piece

7 0
2 years ago
NEED HELP FAST!!!!!!!!!!!
erica [24]

Answer:a=3/4

b=3/4

Step-by-step explanation:

3a+5b=6

9a+7b=12

-3(3a+5b)=-3(6)

9a+7b=12

-9a-15b=-18

9a+7b=12

-8b=-6

b=3/4

3a+5(3/4)=6

3a+15/4=6

3a=9/4

a=3/4

7 0
3 years ago
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