hkjhgiult
hkjhgiult hkjhgiult
  • 30-08-2022
  • Mathematics
contestada

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

Respuesta :

chetankachana
chetankachana chetankachana
  • 30-08-2022

Answer:

x = 5, x = 3

Step-by-step explanation:

Hello!

Equation: [tex]-1 = 2|x - 4| - 3[/tex]

Solve

  • [tex]-1 = 2|x - 4| - 3[/tex]
  • [tex]2 = 2|x - 4|[/tex]
  • [tex]1 = |x - 4|[/tex]

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

  • [tex]x - 4 = 1\\x - 4 = -1[/tex]
  • [tex]x = 5, x = 3[/tex]

x= 5 and x = 3.

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