Hey,

rewrite the equation y = 2 |x-3| + 5 as two linear functions f and g with restricted domains

f(x) = blank, x < or equal to blank

g(x) = blank, x greater than blank

The absolute value is defined as

In your case, the expression inside the absolute value is , which changes sign at . So, you have

23

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)