The value of f(x) when x = 3 is 4
The definition of the piecewise function is given as:
[tex]f(x) = \left[\begin{array}{cc}-x& x \le -1\\1&x = 0\\x + 1&x \ge 1\end{array}\right[/tex]
When x = 3, the domain is [tex]x \ge 1[/tex]
At [tex]x \ge 1[/tex], the function definition is
f(x) = x + 1
So, we have:
f(3) = 3 + 1
Evaluate
f(3) = 4
Hence, the value of f(x) when x = 3 is 4
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Complete question
A piecewise function is defined as shown.
[tex]f(x) = \left[\begin{array}{cc}-x& x \le -1\\1&x = 0\\x + 1&x \ge 1\end{array}\right[/tex]
What is the value of f(x) when x=3?