Question

question
given $g(x) = -2x + 1$, solve for $x$ when $g(x) = 5$.

Explanation:

Step1: Substitute \( g(x) \) with 5

Since \( g(x) = 5 \) and \( g(x)=-2x + 1 \), we get the equation \( 5=-2x + 1 \).

Step2: Subtract 1 from both sides

Subtract 1 from each side of the equation: \( 5 - 1=-2x+1 - 1 \), which simplifies to \( 4=-2x \).

Step3: Divide both sides by -2

Divide both sides by -2: \( \frac{4}{-2}=\frac{-2x}{-2} \), so \( x = - 2 \).

Answer:

\( x=-2 \)