1 point Find the inverse function of hx 2x 4 h1 x Solution

(1 point) Find the inverse function of h(x) -2(x - 4) h-1 (x) =

h(x) = 2 (x - 4)^3

let y = 2 ( x- 4)^3

x = 2 ( y - 4)^3

dividing both sides by 2

x/2 = ( y - 4)^3

taking cube root on both sides

( x/2)^1/3 = y - 4

adding 4 on both sides

y = ( x/2 )^1/3 + 4

therefore . h^-1 (x) = cube root (x/2) + 4