<h3>
Answer:</h3>
Any x value that makes the denominator equal to 0
<h3>
Explanation:</h3>
Rational Functions
The quotient of two functions can be rewritten as a rational function. All rational functions have discontinuities in the domain where the denominator equals 0. For this to make sense, remember that anything divided by 0 is undefined.
Examples
To show this idea, I will use the example 
. For this rational function or quotient of two functions, the x value -3 is not included in the domain. This is due to the fact that when x=-3, the denominator is equal to 0. Thus, the function is undefined at this value.
<h3>
Answer: 12</h3>
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Explanation:
First lets compute the value of g(1.5)
Plug x = 1.5 into the g(x) function
g(x) = 8 - 3x
g(1.5) = 8 - 3*1.5 <<--- note how every x is replaced with 1.5
g(1.5) = 8 - 4.5
g(1.5) = 3.5
We ultimately want the value of h(g(1.5)), but that is the same as h(3.5) because we found g(1.5) = 3.5; effectively, g(1.5) and 3.5 are the same value.
Let's compute h(3.5) by plugging in x = 3.5 into the h(x) function.
h(x) = 2x + 5
h(3.5) = 2(3.5) + 5
h(3.5) = 7+5
h(3.5) = 12
h(g(1.5)) = 12 which is the final answer
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An alternative track is to first figure out what h(g(x)) would be in general, by first doing this
h(x) = 2x + 5
h(g(x)) = 2*( g(x) ) + 5 <<---- every x replaced with g(x)
h(g(x)) = 2*( 8-3x ) + 5 <<---- the g(x) replaced with 8-3x
h(g(x)) = 16 - 6x + 5
h(g(x)) = -6x + 21
From here, we plug in x = 1.5
h(g(x)) = -6x + 21
h(g(1.5)) = -6*1.5 + 21
h(g(1.5)) = -9 + 21
h(g(1.5)) = 12 which is the same answer as before
Answer:
index
Explanation:
index is usually found in the back of a book
The correct answer is C) The temperature of the water will increase; the temperature of the solid will decrease.
In fact, the solid is at higher temperature, so when it is put inside the water it starts to release heat to the water. As a result, the temperature of the solid decreases, and since the heat is absorbed by the water, the temperature of the water increases. This process continues until the water and the solid reach thermal equilibrium (i.e. until they reach same temperature).
