Answer:
[tex](\frac{x}{9})[/tex]¹²
Step-by-step 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 = [tex]\frac{x}{9}[/tex]
y = [tex](\frac{x}{9})[/tex]¹²
Now y will be replaced by f⁻¹(x)
f⁻¹(x) = [tex](\frac{x}{9})[/tex]¹²
Therefore inverse of the function f(x) is f⁻¹(x) = [tex](\frac{x}{9})[/tex]¹²
