Question

Please help me answer this question thank you :)

Answer 1

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:

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