A Fixed Point of a Function $f(x)$ Is a Value for Which

Multiple Choice

A fixed point of a function $f(x)$ is a value for which $f(x) =x$ . For the given function, find:
a) Fixed point of $f(x)$
b) (f $\circ f) (\mathbf{x})$
c) Fixed point of (f $\circ\mathbf{f}) (\mathbf{x})$
- $f(x) =-\frac{1}{2} x+6$

A) a) 2 b) $3 x-1$ c) 5
B) a) 8 b) $\frac{1}{4} x-3$ c) -1
C) a) 11 b) $3 x-1$ c) 11
D) a) 4 b) $\frac{1}{4} \mathrm{x}+3$ c) 4