Respuesta :

Answer:

A) [tex]f^{-1}(n)= (n+2)^3[/tex]

Step-by-step explanation:

[tex]f(n) = \sqrt[3]{n} -2[/tex]

[tex]y = \sqrt[3]{n} -2[/tex]

[tex]y = n^{1/3}-2[/tex]

[tex]n = y^{1/3} -2[/tex]

[tex]n + 2 = y^{1/3}[/tex]

[tex]y = (n + 2) ^3[/tex]

[tex]f^{-1}(n) = (n + 2)^3[/tex]

Hope this helps!

vidalmari6p99qfk

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

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