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AleksandrR [38]
3 years ago
7

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

Mathematics
1 answer:
Mariana [72]3 years ago
7 0
There's more than one way to combine them really
but an obvious one will be

\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}
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