Fiona is gathering signatures on a petition to save the Orangutans. If she gets 4 times the number of signatures that she has ri
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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)
Step-by-step explanation:
Given
The function is
for , we will check the values of
and
Take 3 and 4
Similarly,
Thus,
Also, is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.