Question

Sorry to keep asking questions

Answer 1

Answer:

y = $\sqrt[3]{x-5}$

Step-by-step explanation:

To find the inverse of any function you basically switch x and y.

function = y = x^3 + 5

Now we switch x and y

x = y^3 +5

Solve for y,

x - 5 = y^3

switch sides,

y^3 = x-5

y = $\sqrt[3]{x-5}$

Answer 2

Answer:

$\Large \boxed{{f^{-1}(x)=\sqrt[3]{x-5}}}$

Step-by-step explanation:

The function is given,

$f(x)=x^3 +5$

The inverse of a function reverses the original function.

Replace f(x) with y.

$y=x^3 +5$

Switch variables.

$x=y^3 +5$

Solve for y to find the inverse.

Subtract 5 from both sides.

$x-5=y^3$

Take the cube root of both sides.

$\sqrt[3]{x-5} =y$