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

User Mgrueter
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1 Answer

1 vote

Answer:

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

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

User Jan Hernandez
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