Can someone please help? f(x) = |x − 2| − 4 and g(x) = 1/2x − 2 solve algebraically for x.

x = 8, x = 0   intercepts: (8,2) (0,-2)

Step-by-step explanation:

|x − 2| is a positive value, x can be x ≥ 2 or x ≤ 2

when x≥2, then

y = x-2-4 =x-6  and y = 1/2x - 2

x-6 = 1/2x-2

1/2x=4

x = 8

When x≤2

y = -(x-2)-4 = -x - 2

y = 1/2x - 2

-x - 2 = 1/2x - 2

x = 0

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

b. hoped i'm right lol

step-by-step explanation: