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The demand function for an auto parts manufacturing company is given by f(x) = 100000 - 2500x , where x represents price and f(x) represents quantity. f^-1 (x) = _______. In the inverse function, the variable X represents _____

Respuesta :

to solve switch x and y and solve for y. so f^-1(x)=(x-100000)/(-2500). and x will rep the quantity.

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Answer:

[tex]f^{-1}(X)=\frac{100000-X}{2500}[/tex]

The variable X represents the quantity.

Step-by-step explanation:

We are given that

The demand function for an auto parts manufacturing company is fiven by

f(x)=100000-25 x

Where x=Represents  price

f(x)= Represents quantity

We have to find inverse function [tex]f^{-1}(X)[/tex]

Let f(x)=X

[tex]X=100000-2500 x[/tex]

[tex]2500x=100000-X[/tex]

[tex]x=\frac{100000-X}{2500}[/tex]

Substituting the value of x then we get

[tex]f^{-1}(X)=\frac{100000-X}{2500}[/tex]

Therefore, the inverse function

[tex]f^{-1}(X)=\frac{100000-X}{2500}[/tex]

Where X= Represents the quantity

[tex]f^{-1}(X)[/tex]=Represents price

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