Question

If f(x)= x3 -7÷2 find f-1 (x)​

Answer 1

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) }`