Question

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

Answer 1

x = 1 or x =
`(11)/(3)`

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 =
`(11)/(3)`

(2)

3x - 7 = - 4 ( add 7 to both sides )

3x = 3 ( divide both sides by 3 )

x = 1