Hello there!
I'm assuming since there is no question, that you want an explanation for composite functions.
Today, I want to introduce you to a very new way of looking at functions. Think of a function as a machine. I'll call this machine f. When you plug something into this machine, it is an x-value. The machine changes the x-value into a new value which is called a y-value. This is how a function works.
With composite functions though, things get a little bit tricky. To make f(g(x)), you need to plug in x into the g machine, and it will give you an output. (y-value) The next thing you do is take that y-value and plug it into the g machine. The g machine then gives you a new value. This value is f(g(x)).
Let's do an example together...
f(x)=3x and g(x)=x²+4
if we want f(g(x)), first plug in x to the g machine. when plugging in x to the g machine, we get x²+4 as given in the question.
Now we must plug in g(x) into the f machine. Since g(x) is x²+4, we just replace x with x²+4.
We get 3(x²+4)
This means that f(g(x))=3(x²+4)
NOTE: If you are seeking help with an actual question, please message me in the comments and I will assist you shortly!
I hope this helps!
Best wishes :)
Answer:
He said that the nation had "room enough for our descendants to the thousandth and thousandth generation" and that his administration would pursue "honest friendship with all nations, entangling alliances with none." He affirmed that America's future depended upon "the preservation of the General government
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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3^2 +(5-2)* 4-6/3
Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction
3^2+3*4- 6/3
9+3*4- 6/3
9+12- 6/3
9+12-2
9+10
19
So your answer is 19.
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Answer:
(x, y) = (3, 2)
Step-by-step explanation:
The attached graph shows the solution.
(x, y) = (3, 2)