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Natalka [10]
2 years ago
13

What is the inverse of the function select the correct answer

Mathematics
2 answers:
GalinKa [24]2 years ago
5 0
It’s A, as you can tell from my picture

yarga [219]2 years ago
5 0

Answer:

A

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = \frac{19}{x^3} ( multiply both sides by x³ )

yx³ = 19 ( divide both sides by y )

x³ = \frac{19}{y} ( take the cube root of both sides )

x = \sqrt[3]{\frac{19}{y} }

Change y back into terms of x, thus

f^{-1}(x ) = \sqrt[3]{\frac{19}{x} } = \frac{\sqrt[3]{19} }{\sqrt[3]{x} } → A

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