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Evaluate each function over the set of real numbers.

If [tex]f(x)=|x-3|[/tex], then [tex]f(3)=[/tex]

Sagot :

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To find the value of the function [tex]\( f(x) = |x - 3| \)[/tex] at [tex]\( x = 3 \)[/tex], we can follow these steps:

1. Write down the function [tex]\( f(x) = |x - 3| \)[/tex].
2. Substitute [tex]\( x = 3 \)[/tex] into the function, which gives us [tex]\( f(3) = |3 - 3| \)[/tex].
3. Perform the arithmetic inside the absolute value: [tex]\( 3 - 3 \)[/tex] equals [tex]\( 0 \)[/tex].
4. The absolute value of [tex]\( 0 \)[/tex] is [tex]\( 0 \)[/tex], since [tex]\( |0| = 0 \)[/tex].

Therefore, [tex]\( f(3) = 0 \)[/tex].
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