Question

Find the inverse of the function. f(q)=-9(q+6)^3

Answer 1

`f(q) = y = 9 {(q + 6)}^(3) \\ q = 9 {(y + 6)}^(3) \\ \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } = y + 6 \\ y = \frac{ \sqrt[3]{q} }{ \sqrt[3]{3} } \frac{ \sqrt[3]{3} }{ \sqrt[3]{3} } - 6 \\ y = \frac{ \sqrt[3]{q} \sqrt[3]{3}}{ {3} } - 6 = {f}^( - 1) (q)`