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lululilovo
@lululilovo
July 2022
2
6
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Помогите сроооооочноо.Заранее спасибо.Найти (f (g (x))`:
F (x)=x^2-4x и g(x)=корень из x
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amin07am
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Ответ ответ ответ ответ ответ
0 votes
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oganesbagoyan
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Найти (f (g (x) ) ` :
F (x)=x^2-4x и g(x)=корень из x
-----------
f(x)=x²
- 4x и g(x)=
√
x .
f (g (x) ) = (g(x))² - 4*g(x) =(√x )² - 4√x = x - 4√x .
(f (g (x) ) )
`
=
(x - 4√x ) ` = (x) ` -(4√x )
` = 1 - 4
*(x^1/2) =1 - 4*(1/2)*x^(-1/2)=
= 1 -
2 /
√x.
1 votes
Thanks 0
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Verified answer
Ответ ответ ответ ответ ответVerified answer
Найти (f (g (x) ) ` : F (x)=x^2-4x и g(x)=корень из x-----------
f(x)=x² - 4x и g(x)=√ x .
f (g (x) ) = (g(x))² - 4*g(x) =(√x )² - 4√x = x - 4√x .
(f (g (x) ) ) ` = (x - 4√x ) ` = (x) ` -(4√x ) ` = 1 - 4*(x^1/2) =1 - 4*(1/2)*x^(-1/2)=
= 1 - 2 / √x.