Question

question given ( g(x) = 3x - 4 ), solve for ( x ) when ( g(x) = 5 ). answer attempt 1 out of 2

Explanation:

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

We know \( g(x) = 3x - 4 \) and \( g(x) = 5 \), so we set up the equation \( 5 = 3x - 4 \).

Step2: Add 4 to both sides

To isolate the term with \( x \), we add 4 to both sides of the equation.
\( 5 + 4 = 3x - 4 + 4 \)
Simplifying both sides, we get \( 9 = 3x \).

Step3: Divide both sides by 3

To solve for \( x \), we divide both sides of the equation \( 9 = 3x \) by 3.
\( \frac{9}{3} = \frac{3x}{3} \)
Simplifying, we find \( x = 3 \).

Answer:

\( x = 3 \)