Find the functional values f(-5), f(1), and f(3) for the compound function.
f(x)={ |x-5|, if x is less than or equal to 1} {1/(x+1)}, if x is greater than 1
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Expert's answer
2013-01-30T10:35:56-0500
We see that x=-5 is less than 1, thus we substitute x=-5 to the first part of the compound function and find its value: f(-5) = |-5 - 5| = |-10| = 10 For x=1: 1 is equal to 1, therefore we substitute x=1 to the first part of the compound function and find its value: f(1) = |1 - 5| = |-4| = 4 For x=3: we see that 3 is greater than 1, so we substitute x=3 to the second part of the compound function and find its value: f(3) = 1/(3 + 1) = 1/4 Finally f(-5) = 10 f(1) = 4 f(3) =1/4
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