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.
Learn more about domain and range at brainly.com/question/2264373
#SPJ10
Answer: You can use any one altitude-base pair to find the area of the triangle, via formula A = (1/2) bh. In each of those diagrams, the triangle ABC is the same. The green line is the altitude, the height, and the side with the red perpendicular square on it is the base. All three sides of the triangle get a turn.
Step-by-step explanation:
Answer:
-110,-45,710
Step-by-step explanation:
If the minus is on the numbers and there is a number without minus the answer is the one without minus
Answer:
Step-by-step explanation:
![x^4+4x^3-27x-108\\=x^3(x+4)-27(x+4)\\=(x+4)(x^3-27)\\=(x+4)[x^3-3^3]\\=(x+4)(x-3)(x^2+3x+3)](https://tex.z-dn.net/?f=x%5E4%2B4x%5E3-27x-108%5C%5C%3Dx%5E3%28x%2B4%29-27%28x%2B4%29%5C%5C%3D%28x%2B4%29%28x%5E3-27%29%5C%5C%3D%28x%2B4%29%5Bx%5E3-3%5E3%5D%5C%5C%3D%28x%2B4%29%28x-3%29%28x%5E2%2B3x%2B3%29)
Answer:
11
Step-by-step explanation:
Graph in desmos by making a table then you're able to count more clearly
