Question

1. given f(x) = 5x - 4, find the value of x if f(x) = 31

a. 7 c. 151
b. 27/5 d. -7

Explanation:

Step1: Substitute f(x) with 31

We know that \( f(x) = 5x - 4 \) and \( f(x) = 31 \), so we substitute to get the equation \( 5x - 4 = 31 \).

Step2: Solve for x

First, add 4 to both sides of the equation: \( 5x - 4 + 4 = 31 + 4 \), which simplifies to \( 5x = 35 \). Then, divide both sides by 5: \( x=\frac{35}{5}=7 \).

Answer:

A. 7