The domain of the function g(x)=l2xl +2 is all real numbers and the range is from (0,∞).
Given g(x)= l2xl +2
First of all we know that modulas gives two values for x<0 and x>=0.
The function g(x) if opened gives two values.
for x>=0 g(x)=2x+2
for x<0 g(x)=-2x+2
because we have not told about the description about x so we can put any value in the function.
So the domain is all real numbers.
Now when we take g(x)=2x+2 for x>=0
putting x=0 we get 2 and rest are positive values so the value of g(x) keeps increasing as we increase the value of x. So here range is [2,∞).
Now take g(x)=-2x+2 for x<0
putting smallest number starting from zero but not 0 we will get a number near to 0 but not zero and because when a negative number multiplies with -2 it becomes positive and increase the value of g(x) so here the range becomes (0,∞).
When we talk about overall range it will be [2,∞) ∪(0,∞)
it will be (0,∞).
Hence the domain of the function g(x) is all real numbers and range is from 0 to infinity.
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Answer:
The value of x = 3.
Step-by-step explanation:
The ratio between length and width is given by:
Where:
- L represents the new length
- W represents the new width
Now, we know that each dimension is reduced by x inches, it means:
Then, we will have:
Finally, we just need to solve it for x.
<u>Therefore, the value of </u><u>x = 3.</u>
I hope it helps you!
What you meant was the "commutative" property.
So we can say that when adding:
<em>"<u>Commutative</u> means that the order does not make any difference in the result."</em>
Example:
5 + 6 = 6 + 5
a + b = b + a
The commutative property does not hold for subtraction.
Example:
4 - 1 ≠ 1 - 4
a - b ≠ b - a
Ok, now does the commutative property hold true for multiplication?
2 x 3 = 3 x 2
2 x 3 x 4 = 4 x 3 x 2
Yes.
What about division?
12 ÷ 4 ≠ 4 ÷ 12
The commutative property does not hold for division.
Answer:
Third option
Step-by-step explanation:
We can't factor this so we need to use the quadratic formula which states that when ax² + bx + c = 0, x = (-b ± √(b² - 4ac)) / 2a. However, we notice that b (which is 6) is even, so we can use the special quadratic formula which states that when ax² + bx + c = 0 and b is even, x = (-b' ± √(b'² - ac)) / a where b' = b / 2. In this case, a = 1, b' = 3 and c = 7 so:
x = (-3 ± √(3² - 1 * 7)) / 1 = -3 ± √2
