Question

A real estate company balances the books for its business on the first day of each month. It hopes to sell houses every other day of the month. The average number of houses, S, the company sells each day, t, is represented by the inverse of the function Inverse of S is equal to the quantity t squared plus 4 times t minus 5 end quantity over the quantity t squared minus 7 times t plus 6 end quantity Which equation represents the average sales each day for the real estate company?

Answer 1

The inverse function is given as s⁻¹ = [(t + 5) / (t – 6)]. Then the correct option is C.

The complete question is attached below.

What is an equivalent expression?

The equivalent is the expressions that are in different forms but are equal to the same value.

A real estate company balances the books for its business on the first day of each month.

It hopes to sell houses every other day of the month.

The average number of houses, S, the company sells each day, t, is represented by the inverse of the function is given below.

$\rm s^{-1} = \dfrac{t^2 + 4t - 5}{t^2 - 7t + 6}$

Then the inverse function can be written as

$\rm s^{-1} = \dfrac{t^2 +5t - t - 5}{t^2 - 6t - t + 6}\\\\\rm s^{-1} = \dfrac{(t + 5)(t - 1)}{(t - 6)(t - 1)}\\\\\rm s^{-1} = \dfrac{(t + 5)}{(t - 6)}$

Then the correct option is C.

More about the equivalent link is given below.

https://brainly.com/question/889935

#SPJ1