Question

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

Answer 1

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. 1/x = y^3/19
2. 19/x = y^3
3. (19/x)^(-3) = y