The demand function for an auto parts manufacturing company is given by f(x)= 100,000-2,500, where x represents price and f(x) represents quantity.
f^1 (x) = in the inverse function, the variable x represents
40-2500/x price
40+x/2500 quantity
40-x/2500
40+2500/x

Answer

Part 1) f(x)⁻¹ = 40 - x/2,500

Part 2) quantity

Explanation

f(x)= 100,000-2,500x

In finding the inverse of F(x) we make x the suject of the formula.

f(x)= 100,000-2,500x

2,500x = 100,000 - f(x)

x = 100,000/2,500 - f(x)/2500

x = 40 - f(x)/2,500

Now interchange x with f(x).

f(x)⁻¹ = 40 - x/2,500

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

take it another