Question

solve for input of function given output
score: 20/20
penalty: 1 off
question
given ( h(x) = -2x + 4 ), solve for ( x ) when ( h(x) = -8 )
answer
attempt 1 out of 2:
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Explanation:

Step1: Substitute \( h(x) \) with \(-8\)

We know \( h(x) = -2x + 4 \) and \( h(x) = -8 \), so we set up the equation \(-8 = -2x + 4\).

Step2: Subtract 4 from both sides

Subtract 4 from each side of the equation: \(-8 - 4 = -2x + 4 - 4\), which simplifies to \(-12 = -2x\).

Step3: Divide both sides by -2

Divide both sides by \(-2\): \(\frac{-12}{-2} = \frac{-2x}{-2}\), so \( x = 6 \).

Answer:

\( 6 \)