Algebra

Question

0

8

1

+2115

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.

LiIIiam0216 May 17, 2024

CPhill · Answer 1 · 2024-05-17T04:54:47

x = 2x + 8 x = 13 -5x x = 20 - 14x x = 40 + 5x

-x = 8 6x = 13 15x = 20 -4x = 40

x = -8 NO x = 13 / 6 OK x = 20/15 = 4/3 NO x = -40/4 = -10 NO

Only one value

x = 13 / 6