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

Step-by-step explanation:

We are given the function:

And that:

And we want to determine the value of c.

Recall that by definition of inverse functions:

So, since f⁻¹(5) = -1, then f(-1) = 5.

Substitute:

Simplify:

Combine like terms:

And divide. Hence:

In conclusion, the value of c is -2.

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