Question

Let f(x)=|2x+10| and g(x)=|2x-24|. find all the values of x for which f(x)=g(x).

Answer 1

8.5

Explanation:

two cases:

1) 2x + 10 = 2x - 24, 10 = -24, impossible!

2) 2x + 10 = -(2x - 24)

2x + 10 = -2x - 24

4x = 34

x = 34/4 = 17/2 = 8.5