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In-s [12.5K]
3 years ago
6

} )^{24}" alt="(1.345*\frac{1}{24} )^{24}" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
evablogger [386]3 years ago
6 0
.......................

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Determine the domain and range of (g ○ f)(x) if f of x is equal to 9 over the quantity x squared minus 9 end quantity and g(x) =
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The domain is all real numbers except -6 and 0. Hence, domain D: {x ∈ ℝ| x ≠ –6, 0}

Hence the range is all real numbers except -3 and 3. Hence, range R: (–∞, –3) ∪ (3, ∞)

Given the following functions:

f(x)=\frac{9}{x^2-9}\\g(x)=x+3

First we need to get the composite function f(g(x))

f(g(x)) = f(x+3)\\f(x+3)=\frac{9}{(x+3)^2-9} \\f(x+3)=\frac{9}{x^2+6x+9-9} \\f(x+3)=\frac{9}{x^2+6x} \\

Get the domain

The domain the values of x for which the function exists. The function cannot exists at when x = -6 and x = 0

  • Hence the domain is all real numbers except -6 and 0. Hence, domain D: {x ∈ ℝ| x ≠ –6, 0}

The range is the value of y for which the function exists. The function cannot exists at when x = -6 and x = 0

  • Hence the range is all real numbers except -3 and 3. Hence, range R: (–∞, –3) ∪ (3, ∞)

Learn more here: brainly.com/question/20838649

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Can someone please help me please!!!!!!
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Emma will roll two number cubes, labeled 1 through 6. She will record the sum of the two numbers after each roll. She will roll
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Emma should expect the sum to be equal to five "60 times"

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Please kindly check the attached file for explanation

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