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Question 1034584: The function f(x) is defined for 1 <= x <= 5 as follows:
f(x) =
2x + 1 if 1 <= x <= 2,
7 - x & if 2 < x <= 3,
10 - 2x if 3 < x <= 4,
10 - x if 4 < x <= 5.
Find all real numbers x such that f(x) = x.
If you find more than one answer, list them all, separated by commas.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The function f(x) is defined for 1 <= x <= 5 as follows:
f(x) =
2x + 1 if 1 <= x <= 2,
7 - x & if 2 < x <= 3,
10 - 2x if 3 < x <= 4,
10 - x if 4 < x <= 5.
Find all real numbers x such that f(x) = x.
If you find more than one answer, list them all, separated by commas.
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f(1) = 2*1+1 = 3
f(2) = 2*2+1 = 5
f(3) = 7-3 = 4
f(4) = 10-2*4 = 2
f(5) = 10-5 = 5
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Ans: x = 5
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Cheers,
Stan H.
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