anonymoususer123 anonymoususer123

15-01-2021
Mathematics

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Which function is the inverse of g(x) = [tex]\frac{(x-1)^{3} }{2} -3[/tex]?

$Which function is the inverse of gx texfracx13 2 3tex class=$

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Eddie1Wan Eddie1Wan

15-01-2021

Answer:

third option

Step-by-step explanation:

let g(x)=y

(x-1)³/2-3=y

(x-1)³/2-3/1=y

(x-1)³-6/2=y

(x-1)³-6=2y

(x-1)³=2y+6(find cubic root of both sides)

(x-1)=³√(2y+6)

x=³√(2y+6)+1

Replace y with g for the inverse

g^-1(x)=³√(2x+6)+1

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