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If f(x)= x3 -7÷2 find f-1 (x)​

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Answer:

The inverse of given function is


f^(-1) ( x ) = (2x+7)^{(1)/(3) }

Explanation:

Explanation:-

Given function


f(x) = (x^(3)-7 )/(2)

let y = f(x)


y = f(x) = (x^(3)-7 )/(2)

⇒ 2 y = x³ - 7

⇒ 2y +7 = x³


x = ( 2 y +7 )^{(1)/(3) }


f^(-1) ( y ) = (2y+7)^{(1)/(3) }

The inverse of given function is


f^(-1) ( x ) = (2x+7)^{(1)/(3) }

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