Answer:
-2x-2y-2z I think that is answer
Anxiety can cause you to overthink what you already know which interns makes you think you don’t know it. Math is just formulas and arthritic and if anxiety has you doubting that you know how to solve a problem then you won’t remember how to solve it
Problem 1
<h3>Answer: False</h3>
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Explanation:
The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.
So,
f(x) = x+1
f( g(x) ) = g(x) + 1 .... replace every x with g(x)
f( g(x) ) = 6x+1 ... plug in g(x) = 6x
(f o g)(x) = 6x+1
Now let's flip things around
g(x) = 6x
g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)
g( f(x) ) = 6(x+1) .... plug in f(x) = x+1
g( f(x) ) = 6x+6
(g o f)(x) = 6x+6
This shows that (f o g)(x) = (g o f)(x) is a false equation for the given f(x) and g(x) functions.
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Problem 2
<h3>Answer: True</h3>
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Explanation:
Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.
For example, let
f(x) = 1/(x+2)
g(x) = -2
The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.
So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).
Radius =
<span>
<span>
<span>
23.125
</span>
</span>
</span>
cm
Cylinder Volume = <span>π <span>• r² • height
</span></span>
Cylinder Volume = 3.14 * 23.125^2 * 18.5
Cylinder Volume =
<span>
<span>
<span>
31,064.53515625
</span>
</span>
</span>
Cylinder Volume =
<span>
<span>
<span>
31,064.54 cubic centimeters
</span></span></span>
The number of situps form an AP with first term (a) = 17 and common difference (d) = 4
Tn = a + (n - 1)d
T12 = 17 + (12 - 1) x 4 = 17 + 11(4) = 17 + 44 = 61
Therefore, she will do 61 situps on day 12.
