Linear functions with the exception of fx x can have at mos

Linear functions (with the exception of f(x) = x) can have at most one fixed point. Quadratic functions can have at most two. Find the fixed points of the function g(x) = x^2 - 2. (Enter your answers as a comma-separated list.) x = Give a quadratic function whose fixed points are x = -5 and x = 6. f(x) =

Solution

g(x) = x^2 - 2

x^2 - 2 = x

subtracting x from both sides

x^2 -x - 2 = 0

(x-2)(x+1) = 0

x = 2 , x= -1