Question

To determine the inverse of function f,

Answer 1

Answer:

To determine the inverse of function f, change f(x) to y, switch x and y, and solve for y.

$\frac{1}{8} (x-4)^3$

Step-by-step explanation:

f(x) = $\sqrt[3]{8x} +4$

Change f(x) to y: y = $\sqrt[3]{8x} +4$

Switch x and y: x = $\sqrt[3]{8y} +4$

Solving for y: x - 4 = $\sqrt[3]{8y}$

(x-4)^3 = 8y

y = $\frac{1}{8}$$(x-4)^3$

Therefore: inverse of function f = $\frac{1}{8} (x-4)^3$