Question

Which function is the inverse of function f? f(x)=9x^-12

Answer 1

`((x)/(9))`¹²

Explanation:

The given function is f(x) = 9x⁻¹²

To find the inverse of f(x) we will write the function in a equation form y = 9x⁻¹²

Now we will replace x from y and y from x

x = 9y⁻¹²

Then we will find the value of y

y⁻¹² =
`(x)/(9)`

y =
`((x)/(9))`¹²

Now y will be replaced by f⁻¹(x)

f⁻¹(x) =
`((x)/(9))`¹²

Therefore inverse of the function f(x) is f⁻¹(x) =
`((x)/(9))`¹²