Find all fixed points for the function by setting the function equal to x and solving the resulting equation for x.
-$$f ( x ) = x ^ { 2 } - 6 x + 10$$
A) 5,2
B) 4,1
C) $- 7 , - 7$
D) $5 , - 2$

Question

Quizplus · Accepted Answer

To find the fixed points, set $f(x) = x$, which gives us the equation $x^2 - 6x + 10 = x$. Simplifying, we get $x^2 - 7x + 10 = 0$. Factoring, we find $(x - 5)(x - 2) = 0$, which gives us the fixed points $x = 5$ and $x = 2$.

Find All Fixed Points for the Function by Setting the Function