The answer is -8
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Explanation:
There are two ways to get this answer
Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8
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The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4
g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8
Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8
Regardless of which method you use, the answer is -8
Answer:
dilated coordinates are A(-18,-3) and B(-6,-12)
Step-by-step explanation:
distance of new segment is 15 units
distance formula = 
Answer:
x = 18 + 9y/2
x-18 = 9y/2
(x-18)x2=9y
2(x-18)=9y
2(x-18) / 9 = y
y= 2(x-18)/9
Step-by-step explanation:
<em>Simplify 9/2y to 9y/2</em>
<em>Then Subtract 18 from both sides</em>
<em>Now Multiply both sides by 2</em>
<em>Then Regroup the terms</em>
<em>now divide both sides by 9</em>
<em>Then you will Switch sides</em>
Answer:
10 people,200 dollars. 20 people,400 dollars.100 people,2000 dollars.300 people,6000 dollars.
