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Vesnalui [34]
4 years ago
5

Am I correct?? HELP!!

Mathematics
1 answer:
Vladimir79 [104]4 years ago
4 0
I believe so, but I am not sure good a math soooo
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PLEASE SOMEONE HELP I TRULY DO NOT UNDERSTAND
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Hi there!

\large\boxed{f^{-1}(x) =  \sqrt[3]{\frac{x+4}{9} } }

f(x) = 9x^{3} - 4

Find the inverse by replacing f(x) with y and swapping the x and y variables:

x = 9y^{3} - 4

Isolate y by adding 4 to both sides:

x + 4 = 9y^{3}

Divide both sides by 9:

\frac{x+4}{9}= y^{3}

Take the cube root of both sides:

y = \sqrt[3]{\frac{x+4}{9} }\\\\f^{-1}(x) = \sqrt[3]{\frac{x+4}{9} }

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