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
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we are asked to determine three equivalent ratios for fractions. in this case, we just have to multiply a number each for the numerator and the denominator. we take, 2,3, and 4 in this case.
4/3: 8/6, 12/9, 16/1212/14: 24/28, 36/42, 48/566/9: 12/18, 18/27, 24/36
Answer:
31/5
Step-by-step explanation:
Answer:
x² + 10x + 12 = 36
x² +10x + 12-36 = 0
x² + 10x - 24 = 0
now by factorization;
x² + 12x - 2x - 24 = 0
x(x+12) -2(x+12) = 0
(x+12)(x-2) = 0
Now, x+12 = 0 and x-2 = 0
x = -12 and x = 2
x= -12, 2
Thus the values for x is -12 and 2.
Answer:
117
Step-by-step explanation:
6/8 x/156 so 156/8=19.5*6=117
