bsaksjskakak bsaksjskakak

09-08-2021
Mathematics

contestada

Given the function f(x) = -2c + cx - x^2? and f^-1(5) = -1, find c.

Respuesta :

jimrgrant1 jimrgrant1

09-08-2021

Answer:

c = - 2

Step-by-step explanation:

Given inverse function

[tex]f^{-1}[/tex] (5) = - 1 , then

f(- 1) = 5 , that is

- 2c + c(- 1) - (- 1)² = 5

- 2c - c - 1 = 5

- 3c - 1 = 5 ( add 1 to both sides )

- 3c = 6 ( divide both sides by - 3 )

c = - 2

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