fcm fcm
  • 17-09-2020
  • Mathematics
contestada

For f(x)=∛x+3 and g(x)=(x-2)³+4 find f(g(x)) and g(f(x)).

Respuesta :

stormiarmy
stormiarmy stormiarmy
  • 17-09-2020

For f(g(x)) the answer is

[tex]f((x-2)^{3} +4) = \sqrt[3]{x^{3} -6x^{2}+12x-1 }[/tex]

For g(f(x)) the answer is

[tex]g(\sqrt[3]{x +3} = x-1-6\sqrt[3]{(x+3^{2} } + 12\sqrt[3]{x+3}[/tex]

You just need to set up the composition and evaluate.

Hope this helpsʕ•ᴥ•ʔ

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