# Answer to Question #23271 in Trigonometry for Kristen Woods

Question #23271

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}

f(x)={ |x-5|, if x is less than or equal to 1} { 1/(x+1), if x is greater than 1}

Expert's answer

f(x)={ |x-5|, if x is less than or equal to 1} { 1/(x+1), if x is greater than 1}

1) f(-5)

-5<1

Therefore:

f(-5) = | -5 - 5| = |-10| = 10

2) f(1)

1<=1

Therefore:

f(1) = |1-5| = |-4| = 4

3) f(3)

3>1

Therefore:

f(3) = 1/(3+1) = 1/4 = 0.25

Answer: f(-5) = 10, f(1) = 4, f(3) = 0.25.

1) f(-5)

-5<1

Therefore:

f(-5) = | -5 - 5| = |-10| = 10

2) f(1)

1<=1

Therefore:

f(1) = |1-5| = |-4| = 4

3) f(3)

3>1

Therefore:

f(3) = 1/(3+1) = 1/4 = 0.25

Answer: f(-5) = 10, f(1) = 4, f(3) = 0.25.

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