By definition, a fixed point for the function f is a number x0 such that f(x0) = x0. For instance, to find any fixed points for the function f(x) = 3x − 2, we write 3x0 − 2 = x0. On solving this last equation, we find that x0 = 1. Thus, 1 is a fixed point for f. Calculate the fixed points (if any) for each function.
(a) f(x) = 6x + 10
(b) g(x) = x2 − 2x − 4
(c) S(t) = t2
(d) R(z) = (z + 1)/(z − 1)
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