+200 The function f(x) is defined for 1 \le x \le 5 as follows:
f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4
f(x) = 40 + 5x if 4 < x \le 5
Find all real numbers x such that f(x) = x. If you find more than one answer, list them all, separated by commas.
+130573 f(x) = 2x + 8 if 1 \le x \le 2
f(x) = 13 - 5x if 2 < x \le 3
f(x) = 20 - 14x if 3 < x \le 4
f(x) = 40 + 5x if 4 < x \le 5
x= 2x + 8 x = 13 - 5x x = 20 - 14x x = 40 + 5x
-x = 8 6x = 13 15x = 20 -4x = 40
x = -8 x = 13/6 x = 20 / 15 = 4/3 x = -10
-8 not in interval 13/6 in the interval 4/3 not in interval -10 not in interval
Answer : 13 / 6
