f*g=f compus cu g=f(g(x))
Exemple de functii compuse
f(x)=x+3
g(x)=x²-1
f*g=f(g(x))=(x²-1)+3=x²+2
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f(x)=a^x
g(x)=x²-1
f*g=f(g(x))=a^g(x)=a^(x²-1)
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f(x) =sinx
g(x)=2x+6
f*g=f(g(x))=sin(2x+6)
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f(x)=√x
g(x)=x³+1
f*g=f(g(x))=√g(x)=√(x³+1)
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O functie compusa cu inversa ei este functia identica Ex
f(x)= √x
g(x)=x² g(x)=f^(-1)
f*g=√g(x)=√x²=x
f(x)=sinx
g(x) arcsinx g=f^(-1)
f*g=sin g(x)=sin arcsinx=x
