Answer: 12
Step-by-step explanation:
We know that , the ceiling function y = [x] is also known as the least integer function that gives the smallest integer greater than or equal to x.
For example : For x= 1.5
y = [1.5] =2
For x= 3.64
y = ⌊3.64⌋=4
The given function :
Then, for x= 5.9 , we have
[since [3.9]=4 (least integer function)]
Therefore, the value of f(5.9) is 12
Answer:
(1,3) should be the answer due to the fact that both lines intersect at that point.
Step-by-step explanation:
The length of the base is 27 and the length of the height is 17.
To find the answer, you need to add up each side twice and set it equal to 88.
x-6+x-6+x+4+x+4=88
That is equal to: 4x - 4 = 88
Add 4 to both sides: 4x = 92
Divide by 4: x = 23
Now plug 23 in for x:
Base: 23 + 4 = 27
Height: 23-6=17
Answer:
8. (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)
9. f(g(x)) = 4x/(1+6x)
Step-by-step explanation:
8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.
g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)
So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:
(-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)
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9. Substituting the definition of g(x) into the expression for f(x), we get ...
