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Marrrta [24]
3 years ago
7

Please help me answer this question thank you :)

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer:

A.

f(x) =  \frac{ \sqrt[3]{x} }{5}  \: { \bf{and}} \: g(x) = 5 {x}^{3}

Step-by-step explanation:

Consider f(x) as the original function:

{ \tt{f(x) =  \frac{ \sqrt[3]{x} }{5} }}

Let the inverse be m:

{ \tt{g(x) = f {}^{ - 1} (x) = m}} \\ { \tt{m =  \frac{ \sqrt[3]{x} }{5} }} \\ { \tt{5m =  \sqrt[3]{x} }} \\ { \tt{x = 5m {}^{3} }} \\ therefore :  \\ { \tt{g(x) = 5 {x}^{3} }}

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