Question

Mă poate ajuta cineva cu acest exercițiu ?​

Answer 1

Răspuns:

fog={g+2 pt g≤3

{5g-7 pt g>3

1)-x+2 pt x∈(-∞,3]∩(-∞5)=(-∞,3)

2)5(-x)-7 pt x∈(3,+∞)∩(-∞,5)=(3,5)

3)2x+1+2  pt x∈(-∞,3]∩[5,+∞)=Ф Nu exista aceasta compunere

4).5(2x+1)-7 pt x∈(3,∞)∩[5,+∞)

10x+5-7=10x-2 pt x∈[5,+∞)

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gof={2f+1 pt f≥5

{-f   pt f<5

gof=

1)2(x+2)+1=2x+5 pt x∈[5,+∞)∩(-∞,3]=Ф nu exista aceastacompunere

2)2(5x-7)+1=10x-13 pt x∈[5,+∞)∩(3,+∞)=[5,+∞)

3.-x+2 pt x∈(-∞,3]∩[-∞,5)=(-∞,3]

4.-(5x-7)=-5x+7 pt x∈(-∞,5)∩(3,+∞)=(3,5)

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fof={f+2  f≤3

{5f-7 pt f>3

1.f+2=(x+2)+2=x+4 pt x≤3

2.5f-7 =5(5x-7)-7=25x-42 pt x>3

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gog={2g+1 pt g≥5

{-g pt g<5

1.2g+1=2(2x+1)+1=4x+6 pt x≥5

2.-(-x)=x pt x<5

Explicație pas cu pas: