given the function f(X)= |3x-7|, find the values of X that satisfy the equation f(X) = 4

Answer:
x = 1 or x = [tex]\frac{11}{3}[/tex]
Step-by-step explanation:
The expression inside the absolute value function can be positive or negative
That is 3x - 7 = ± 4
There are 2 equations to solve
(1)
3x - 7 = 4 ( add 7 to both sides )
3x = 11 ( divide both sides by 3 )
x = [tex]\frac{11}{3}[/tex]
(2)
3x - 7 = - 4 ( add 7 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1