Question

unit 6 sol review

1. consider the function $f(x) = 3x + 4$.

find the value of $x$ for which $f(x) = 22$.
write each line of work as an equation.
enter your next step here

Explanation:

Step1: Substitute \( f(x) \) with 22

Since \( f(x) = 3x + 4 \) and \( f(x) = 22 \), we substitute to get the equation \( 3x + 4 = 22 \).

Step2: Subtract 4 from both sides

To isolate the term with \( x \), we subtract 4 from both sides of the equation: \( 3x + 4 - 4 = 22 - 4 \), which simplifies to \( 3x = 18 \).

Step3: Divide both sides by 3

To solve for \( x \), we divide both sides of the equation \( 3x = 18 \) by 3: \( \frac{3x}{3} = \frac{18}{3} \), which gives \( x = 6 \).

Answer:

\( x = 6 \)