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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