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xxTIMURxx [149]
4 years ago
5

1.263 x 10^9 - 1.525 x 10^7

Mathematics
2 answers:
stepladder [879]4 years ago
7 0
1,263,000,000-15,250,000=1,247,750,000

Soloha48 [4]4 years ago
6 0
1.263 x 10^9=126,300,000
1.525 x 10^7=15,250,000
126,300,000-15,250,000=111,050,000
(i did long form coz i didn't have the right calculator)
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Question 1:

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(g_ {0} f) (x) = g [f (x)]

In this case, they ask us for the function composed of g with f:

(f_ {0} g) (x) = f [g (x)]

So, we have:

(f_ {0} g) (x) = 2 (\frac {1} {x-3})\\(f_ {0} g) (4) = 2 (\frac {1} {4-3})\\(f_ {0} g) (4) = 1

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(f_ {0} g) (4) = 1

Question 2:

For this case, we must find the inverse function of g (x) = \frac {1} {x-3}, given by: g ^ {- 1} (x)

To do this, replace g(x) with y:

y = \frac {1} {x-3}

We exchange variables:

x = \frac {1} {y-3}

We solve for "y":

y-3 = \frac {1} {x}\\y = \frac {1} {x} +3

Replace "y" with g ^ {-1} (x)

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g ^ {- 1} (x) = \frac {1} {x} +3

Answer:

g ^ {- 1} (x) = \frac {1} {x} +3

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For this case, we have by definition, the domain of a function f (x), is the set of all the values ​​for which the function is defined.

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{x | x \neq 0}for any integer n

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All numbers, exceptx = 0

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