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Question
solve for input of function given output
score: 3/20
penalty: 1 off
question
given ( g(x) = -x + 4 ), solve for ( x ) when ( g(x) = 8 ).
answer
attempt 1 out of 2
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Step1: Substitute \( g(x) \) with 8
We know that \( g(x) = -x + 4 \) and \( g(x) = 8 \), so we substitute to get \( 8 = -x + 4 \).
Step2: Solve for \( x \)
Subtract 4 from both sides: \( 8 - 4 = -x \), which simplifies to \( 4 = -x \). Then multiply both sides by -1 to get \( x = -4 \).
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\( x = -4 \)