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avatar+1748 

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.

 May 17, 2024
 #1
avatar+129499 
+1

 

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

 

 

cool cool cool

 May 17, 2024

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