ewwwkrissy
ewwwkrissy ewwwkrissy
  • 14-10-2021
  • Mathematics
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find the inverse of the function. f(q)=-9(q+6)^3

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discipulus
discipulus discipulus
  • 14-10-2021

Answer:

[tex]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)[/tex]

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