Question

Number of students at cbc since 2010 . Using fuction s(t)=754(1.023) number of students in 2020

Find the inverse function for this model.

Answer 1

The inverse function is " s^-1(t) = ln(t/754) / ln(1.023).

Step-by-step explanation:

To find the inverse function for the given model s(t)=754(1.023)^t, we first replace s(t) with y and solve for t.

The steps for finding the inverse function are as follows:

• Start with the original function:

y = 754(1.023)^t.

• Swap the variables:

t = 754(1.023)^y.

• Divide both sides by 754 to isolate the exponential term:

t/754 = (1.023)^y.

• Take the natural logarithm (ln) of both sides to get:

ln(t/754) = y * ln(1.023).

• Divide by ln(1.023) to solve for y:

y = ln(t/754) / ln(1.023).

The inverse function is: s-1(t) = ln(t/754) / ln(1.023).