What is the value of f(x) when x = 3?
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Because the input x = 3 meets the condition x ≥ 1, we evaluate in the last "piece" of the function to get f(3) = 4.
Here we have a piecewise function, this means that the function behaves differently in different parts of its domain.
If we want to evaluate it in x = 3, first we need to see in which "piece" does this input belongs.
Clearly, 3 > 1.
Then the input belongs to the third "piece", where the domain is:
x ≥ 1.
Then we need to evaluate the part that is:
f(x) = x + 1.
Replacing x = 3 we get:
f(3) = 3 + 1 = 4
Then we can conclude that f(3) = 4.
If you want to learn more about piecewise functions:
https://brainly.com/question/3628123
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