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

1 Answer

3 votes

Answer:


((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

User David Keaveny
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