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Nata [24]
2 years ago
7

How do you find the inverse of the exponential growth function?

Mathematics
1 answer:
suter [353]2 years ago
6 0

Answer:

The inverse function of f(x) is ... f⁻¹(x) = log (x/9.16)/log (1.0054)

Step-by-step explanation:

Starting equation... f(x) = 9.16(1.0054)ˣ

Visually rewritten... y = 9.16(1.0054)ˣ

Flipping x and y... x = 9.16(1.0054)ʸ

Isolating (1.0054)ʸ... x/9.16 = (1.0054)ʸ

Taking the log of both sides... log (x/9.16) = y log (1.0054)

Isolating y... log (x/9.16)/log (1.0054) = y

Solution... y = log (x/9.16)/log (1.0054)

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