If `f(x) = [4-(x-7)^(3)],` then `f^(-1)(x)= ………… .`

Answer

N/a

Explanation

Given that, `f(x) = {4-(x-7)^(3)}`
Let ` " " y=[4-(x-7)^(3)]`
`(x-7)^(3)=4 -y`
`(x-7)=(4-y)^((1)/(3))`
`implies x=7+(4-y)^((1)/(3))`
` f^(-1)(x)=7+(4-x)^((1)/(3))`