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DanielleElmas [232]
1 year ago
6

Help needed on this composition math problem

Mathematics
1 answer:
Marrrta [24]1 year ago
3 0

Given that f(x) = x/(x - 3) and g(x) = 1/x and the application of <em>function</em> operators, f ° g (x) = 1/(1 - 3 · x) and the domain of the <em>resulting</em> function is any <em>real</em> number except x = 1/3.

<h3>How to analyze a composed function</h3>

Let be f and g functions. Composition is a <em>binary function</em> operation where the <em>variable</em> of the <em>former</em> function (f) is substituted by the <em>latter</em> function (g). If we know that f(x) = x/(x - 3) and g(x) = 1/x, then the <em>composed</em> function is:

f\,\circ\,g \,(x) = \frac{\frac{1}{x} }{\frac{1}{x}-3}

f\,\circ\,g\,(x) = \frac{\frac{1}{x} }{\frac{1-3\cdot x}{x} }

f\,\circ\,g\,(x) = \frac{1}{1-3\cdot x}

The domain of the function is the set of x-values such that f ° g (x) exists. In the case of <em>rational</em> functions of the form p(x)/q(x), the domain is the set of x-values such that q(x) ≠ 0. Thus, the domain of f ° g (x) is \mathbb{R} - \{\frac{1}{3} \}.

To learn more on composed functions: brainly.com/question/12158468

#SPJ1

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vlada-n [284]
G(-3)= 2(-3)-22=-28

This is the correct answer
7 0
2 years ago
How to answer this problem
tangare [24]
<2= 30 degrees since its vertical to the 4th angle.
<1=150 degrees
<3=150 degrees

since angle 3 and the 4th angle are supplementary, which means both angles equal 180 degrees, angle 3 equals 150 degrees.

since angle 3 is vertical to angle 1 it's also 150 degrees since they're congruent.
4 0
3 years ago
If x = y + z and x + y =6 and x = 10, then z = _____?
7nadin3 [17]
X+y=6
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10+y=6
y=-4

10=-4+z
-4+z=10
z=10+4
z=14

So the correct answer is 14
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3 years ago
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Ann [662]
It will automatically be over 1
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36 degrees f hope this helps 
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