Answer:
Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x g(x) = x+3
Given f(x) and g(x), please find (fog)(X) and (gof)(x)
f(x) = 2x g(x) = x+3
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Quick Answer
(fog)(x) = 2x + 6
(gof)(x) = 2x + 3
Expert Answers
HALA718 eNotes educator| CERTIFIED EDUCATOR
f(x) = 2x
g(x) = x + 3
First let us find (fog)(x)
(fog)(x) = f(g(x)
= f(x+3)
= 2(x+3)
= 2x + 6
==> (fog)(x) = 2x + 6
Now let us find (gof)(x):
(gof)(x) = g(f(x)
= g(2x)
= 2x + 3
==> (gof)(x) = 2x + 3
Step-by-step explanation:
D is the correct answer I think.
Choice B - Supremacy
As used in line 53, "dominion" most nearly means supremacy.
In the first paragraph of Passage 2, when discussing changing social relations, Mill writes that in her time there was "a just equality, instead of the supremacy of the strongest." In this context of a society where some once had much more power than others, the word "dominion" almost means superiority or greater power.
Choices A, C, and D are incorrect because, in the context of a paragraph discussing differences in the amount of power members of a society have, "dominion" means dominion or greater power, not omnipotence or the state of being all-powerful (choice A), possession ( choice C) or territory (choice D).
For more information about dominion, visit
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Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39
