Answer:
x = -2 or x=6
Step-by-step explanation:
Given
f(x) = 3Ix-2I + 6
As we know that
f(x) = 18
Putting both equal
3Ix-2I+6 = 18
Two cases are possible
Case 1: Negative Modulus
3* -(x-2) + 6 = 18
3(-x+2)+6 = 18
-3x+6+6 = 18
-3x +12 = 18
-3x = 18 - 12
-3x = 6
x = 6/-3
x = -2
Case 2: Positive Modulus
3(x-2)+6 = 18
3x-6+6 = 18
3x = 18
x = 18/3
x = 6
So for x= -2 or x=6 the value of function will be 18..
