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Sagot :
Answer:
- - x² - 10x - 26
Step-by-step explanation:
Given:
- f(x) = - x² - 1
- g(x) = x + 5
Find f(g(x)):
- f(g(x)) =
- f(x + 5) =
- - (x + 5)² - 1 =
- - x² - 10x - 25 - 1 =
- - x² - 10x - 26
[tex]\\ \tt\hookrightarrow f(x)=-x^2-1[/tex]
[tex]\\ \tt\hookrightarrow g(x)=x+5[/tex]
Now
[tex]\\ \tt\hookrightarrow f(g(x))[/tex]
- Put g(x) value
[tex]\\ \tt\hookrightarrow f(x+5)[/tex]
[tex]\\ \tt\hookrightarrow -(x+5)^2-1[/tex]
[tex]\\ \tt\hookrightarrow -(x^2+10x+25)-1[/tex]
[tex]\\ \tt\hookrightarrow -x^2-10x-25-1[/tex]
[tex]\\ \tt\hookrightarrow -x^2-10x-26[/tex]
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