Answer :

To find [tex]\( f(7) \)[/tex] for the function [tex]\( f(x) = 10 - 2x \)[/tex]:

1. First, identify that [tex]\( x \)[/tex] in the function [tex]\( f(x) = 10 - 2x \)[/tex] will be replaced with [tex]\( 7 \)[/tex].

2. Substitute [tex]\( x = 7 \)[/tex] into the function:
[tex]\[ f(7) = 10 - 2(7) \][/tex]

3. Perform the multiplication inside the parentheses first:
[tex]\[ 2 \times 7 = 14 \][/tex]

4. Now, subtract 14 from 10:
[tex]\[ 10 - 14 = -4 \][/tex]

So, the value of [tex]\( f(7) \)[/tex] is [tex]\( -4 \)[/tex].

The correct answer is [tex]\(-4\)[/tex].

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