F(x) = 5x - 1
g(x) = 3x - 9
g(x) - f(x) = 3x - 9 - (5x - 1) = 3x - 9 - 5x + 1 = 3x - 8 - 5x
Hello there!
I want you to think of functions as machines! Let's start with one function, and we will call it f. if we were to plug in x to the machine, x would be an input. Let's say we get 1 everyone we plug in x to the f machine. This would mean the 1 is the output! f(x)=1
Now let's talk about composite functions! Let's say we have TWO machines, f and g. If we plug in x to the f machine, then we would get 1. If we plugged that 1 that we got as an output from the f machine into the g machine, then we would have g(1)=5. THIS is how a composite function works. g(1) is actually g(f(x)) because f(x)=1.
I REALLY hope this analogy helps you out! I apologize if it doesn't, however I've noticed that many people have had success in thinking about functions in this way!
If you need more elaboration, feel free to message me!
Best wishes :)
Answer:
AN = 9
Step-by-step explanation:
so we can imagine this in a line like:
A---------------N---------------X
Step 1 : solve for x
AX=21 (our total)
because we know that AN+NX together makes AX, we put that into an equation
<u>AN + NX = AX </u>
(2x+1) + (3x) = 21
2x + 1 + 3x = 21 <-- <em>subtract 1 from both sides</em>
2x + 3x = 20 <-- <em>add 2x +3x </em>
5x = 20 <-- <em>divide 5 from both sides</em>
<u>x = 4</u>
Step 2 : input x into AN
AN = 2x + 1 <-- <em>input 4 for x</em>
AN = 2(4) + 1 <-- <em>simplify from there</em>
<u><em>AN = 9</em></u>
<u><em /></u>
10. a. x=12
b. m 10.
a. x=12
b. m11.
a. Y=55 W=75 Z=45
b. Chelsea’s solution was incorrect because if you add all the angles up you only get 175 and a triangle measures 180 degrees. .
