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:
13
Step-by-step explanation:
Given x = 2, y = 3 and z = 4. We'll evaluate the value of x² + y² with given condition.
First, remind that we are only given the expression of x-term and y-term only and therefore, z-term is not included - it's not to be considered.
Substitute x = 2 and y = 3 in the expression:
Hence, the value of x² + y² when x = 2 and y = 3 is 13.
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Answer:
D 4,020
Step-by-step explanation:
$37,000(.06) = $2,220
$2,220 + $1,800 = $4,020
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Answer:
D
Step-by-step explanation:
Subtract the exponents
Answer:
There is exactly 11.3562 liters of liquid but to round it would be about 11.36 liters of liquid
Step-by-step explanation:
1 gallon =3.78541 liters
