Question

question given $g(x) = -x + 4$, solve for $x$ when $g(x) = 8$.

Explanation:

Step1: Substitute \( g(x) \) with 8

Since \( g(x) = 8 \) and \( g(x) = -x + 4 \), we set up the equation \( 8 = -x + 4 \).

Step2: Solve for \( x \)

Subtract 4 from both sides: \( 8 - 4 = -x + 4 - 4 \), which simplifies to \( 4 = -x \).
Multiply both sides by -1: \( -4 = x \), so \( x = -4 \).

Answer:

\( x = -4 \)