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Sagot :
Answer:
- 16
Step-by-step explanation:
Given:
- f(x) =3x - 8 and g(x) = x² + 4
- f(g(- 2)) = ?
First find g(- 2):
- g(- 2) = (-2)² + 4 = 4 + 4 = 8
Find f(8):
- f(8) = 3*8 - 8 = 24 - 8 = 16
g(-2):-
[tex]\\ \sf\longmapsto (-2)^2+4[/tex]
[tex]\\ \sf\longmapsto 4+4[/tex]
[tex]\\ \sf\longmapsto 8[/tex]
Now
[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]
[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]
[tex]\\ \sf\longmapsto 3(8)-8[/tex]
[tex]\\ \sf\longmapsto 24-8[/tex]
[tex]\\ \sf\longmapsto 16[/tex]
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