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Evaluate each function over the set of real numbers.

1. If [tex]$f(x)=|x-3|,$[/tex] find [tex]f(3)=[/tex] [tex]\square[/tex]

2. If [tex]$f(x)=\sqrt{x-10},$[/tex] find [tex]f(1)=[/tex] [tex]\square[/tex]



Answer :

GinnyAnswer
To evaluate the function [tex]\( f(x) = |x - 3| \)[/tex] at [tex]\( x = 3 \)[/tex], we'll follow these steps:

1. Substitute [tex]\( x = 3 \)[/tex] into the function:
[tex]\[ f(3) = |3 - 3| \][/tex]

2. Compute the expression inside the absolute value:
[tex]\[ 3 - 3 = 0 \][/tex]

3. Apply the absolute value:
[tex]\[ |0| = 0 \][/tex]

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

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