LxttleLxon
LxttleLxon LxttleLxon
  • 09-03-2017
  • Mathematics
contestada

If h(x) = (f o g)(x) and h(x) = ∛7x+1, find f(x) and g(x)

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jdoe0001 jdoe0001
  • 09-03-2017
there's more than one way to combine them really
but an obvious one will be

[tex]\bf \begin{array}{llll} h(x)&=&(f\circ g)(x)\\\\ &&\sqrt[3]{7x+1}\\\\ &&\sqrt[3]{g(x)}\leftarrow \begin{array}{llll} f(x)=\sqrt[3]{x }\\\\ g(x)=7x+1 \end{array} \end{array}\\\\ -----------------------------\\\\ (f\circ g)(x)\iff f[\quad g(x)\quad ]=\sqrt[3]{g(x)}\implies f[\quad g(x)\quad ]=\sqrt[3]{7x+1}[/tex]
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