1. x <= 31
2. x < 28

For number 1, x is less than or equal to 31 because the number of days in a month (represented by x) will be less than or equal to 31.

For number 2, x is less than 28 because the number of students (represented by x) in each class will always be less than 28.

7 0

3 years ago

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

suter [353]

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)

6 0

2 years ago