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sweet [91]
3 years ago
11

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

Mathematics
1 answer:
Svet_ta [14]3 years ago
5 0

Answer:

(\frac{x}{9})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 = \frac{x}{9}

y = (\frac{x}{9})¹²

Now y will be replaced by f⁻¹(x)

f⁻¹(x) = (\frac{x}{9})¹²

Therefore inverse of the function f(x) is f⁻¹(x) = (\frac{x}{9})¹²

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