given g, of, x, equals, minus, x, minus, 4g(x)=−x−4, find g, of, minus, 4g(−4).
Problem Statement
Given the function ( g(x) = -x - 4 ), find ( g(-4) ).
Answer:
To solve this problem, we need to evaluate the function ( g(x) ) at ( x = -4 ). The function definition is ( g(x) = -x - 4 ).
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Substitute ( x = -4 ) into the function ( g(x) ):
$$ g(-4) = -(-4) - 4 $$
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Simplify the expression:
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The negative of (-4) is (4), so you have:
$$ g(-4) = 4 - 4 $$ -
Subtract (4) from (4):
$$ g(-4) = 0 $$
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Therefore, the value of ( g(-4) ) is 0.
Thus, given the function ( g(x) = -x - 4 ), the result of evaluating ( g(-4) ) is 0.
This concludes that ( g(-4) = 0 ) for the given function ( g(x) = -x - 4 ).