Question

12 if $f(x) = 7(x - 1) + 8$, what is the value of $f(x) = 50$?

Explanation:

Step1: Set up the equation

We know that \( f(x) = 7(x - 1)+8 \) and \( f(x)=50 \), so we set up the equation \( 7(x - 1)+8 = 50 \).

Step2: Subtract 8 from both sides

\( 7(x - 1)+8 - 8=50 - 8 \)
Simplifying, we get \( 7(x - 1)=42 \).

Step3: Divide both sides by 7

\( \frac{7(x - 1)}{7}=\frac{42}{7} \)
Simplifying, we get \( x - 1 = 6 \).

Step4: Add 1 to both sides

\( x - 1+1 = 6+1 \)
Simplifying, we get \( x = 7 \).

Answer:

The value of \( x \) when \( f(x) = 50 \) is \( 7 \).