Question

If f(x)= 2|x-4|-3, then for what value(s) of x does f(x)= -1?

Answer 1

x = 5, x = 3

Explanation:

Hello!

Equation:
`-1 = 2|x - 4| - 3`

Solve

• 
  `-1 = 2|x - 4| - 3`
• 
  `2 = 2|x - 4|`
• 
  `1 = |x - 4|`

Since the output is positive, there are two solutions for x. If it is negative, there are no solutions.

• 
  `x - 4 = 1\\x - 4 = -1`
• 
  `x = 5, x = 3`

x= 5 and x = 3.