Respuesta :

Answer: 9^x

Step-by-step explanation:

I guess we have the function:

f(x) = log₉(x)

The inverse function of this will be the base of the logaritm (9 in this case) powered with the thing inside the logaritm ( in this case x)

Then the inverse is f-1(x) = 9^x

The inverse of the given function is;  f⁻¹(x) = 9ˣ

What is the inverse of the function?

We are given the function;

f(x) = log₉x

From the definition of logarithm, we can say that;

if y = bˣ, then x = log_b_ y

Thus; applying that logarithm rule to our question, we have;

The inverse; f⁻¹(x) = 9ˣ

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