Question

Given the ficción f(x)=3|x-2|+6, for what valúes x is f(x)=18

Answer 1

x = -2 or x=6

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..