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

User Grant Birchmeier
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1 Answer

7 votes
7 votes

Answer:


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)

User Ahoosh
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