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evaluate g(x) = 13 if g(x) = 3x + 4; options: x = 19, x = 43, x = 3, x …

Question

evaluate g(x) = 13 if g(x) = 3x + 4; options: x = 19, x = 43, x = 3, x = 39

Explanation:

Step1: Set up the equation

We know that \( g(x) = 3x + 4 \) and \( g(x)=13 \), so we set up the equation \( 3x + 4=13 \).

Step2: Subtract 4 from both sides

Subtract 4 from each side of the equation: \( 3x + 4 - 4=13 - 4 \), which simplifies to \( 3x = 9 \).

Step3: Divide by 3

Divide both sides of the equation by 3: \( \frac{3x}{3}=\frac{9}{3} \), so \( x = 3 \).

Answer:

\( x = 3 \) (corresponding to the option with \( x = 3 \))