Please please please NEED help ASAP I will mark 5 stars and brainliest if correct |x-1| if x>1

**FULL EXPLANATION PLEASE FOR BRAINLIEST**

9514 1404 393

  x -1

Step-by-step explanation:

The absolute value function is piecewise linear. When its argument is negative, it gives the opposite of that argument:

  |x| = -x  . . .  for x < 0

  |x| = x  . . .  for x ≥ 0

__

When the argument is some function of x, the same rules apply.

  |x -1| = -(x -1)  . . .  for (x -1) < 0

  |x -1| = x -1  . . .  for x -1 > 0

The condition x-1 > 0 is equivalent to x > 1, so you have ...

  |x -1| = x -1  . . .  for x > 1

_____

The attached graph shows that |x-1| and x-1 are the same graph when x>1.