Find all fixed points of the function. $h ( x ) = x ^ { 2 } - 7 x - 9$
A) x = - 1, x = - 9
B) x = - 1, x = 9
C) x = - 9, x = 1
D) x = 9
E) no fixed points

Question

Quizplus · Accepted Answer

A fixed point of a function is a value $x$ for which $h(x) = x$. Setting $h(x) = x$, we get $x^2 - 7x - 9 = x$. Rearranging gives $x^2 - 8x - 9 = 0$. Factoring or using the quadratic formula, we find the roots $x = -1$ and $x = 9$, which are the fixed points.

Find All Fixed Points of the Function h(x)=x2−7x−9h ( x ) = x ^ { 2 } - 7 x - 9h(x)=x2−7x−9

Find All Fixed Points of the Function $h ( x ) = x ^ { 2 } - 7 x - 9$