bryza36205 bryza36205
  • 12-08-2022
  • Mathematics
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What is the inverse of the function

What is the inverse of the function class=

Respuesta :

djp6182583 djp6182583
  • 12-08-2022

Answer:

Its the  first choice.

Step-by-step explanation:

f(x) = 3^(x-1)

log₃ f(x) = (x-1)log₃ 3             log₃ 3 = 1 , so:-

log₃ f(x) = x - 1

x = log₃ f(x) + 1                      Replace x by f-1(x) and f(x) by x, so:-

f-1(x) = log₃ x + 1

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