Let f(a) = a - 5
g(b) = 5 - b.

What is the value of |f(x)| - |g(x)| + |f(g(x)| ?

Correct answer marked below

|x - 10|

3x + 10

|x|

Correct

|x - 5|

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What this question tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.

Let f(a) = a - 5g(b) = 5 - b.What is the value of |f(x)| - |g(x)| + |f(g(x)| ?