Show that the function f defined by `f(x)=|1-x+x|,` where x is any real number, is a continuous function.

Explanation

To show that the function \( f(x) = |1 - x + |x|| \) is continuous, we will follow these steps:

### Step 1: Rewrite the function
We start with the function:
\[ f(x) = |1 - x + |x|| \]
We can denote \( h(x) = 1 - x + |x| \) and \( g(x) = |x| \).
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