What is the inverse of the fuction f (x) = 19/x^3?

Answer: (19/x) ^ (-3)

Step-by-step explanation:

let f (x) = y, y = 19/x^3

inverse means that we want the reverse in effect of the function, so whats the opposite of y = 19/x^3? x = 19/y^3 of course! You just replace the y with x and replace all the x with y.

now try to get the reversed function x = 19/y^3 in terms of y.

1/x = y^3/19 19/x = y^3 (19/x) ^ (-3) = y