Respuesta :

Answer:   -10

=============================================

Work Shown:

(g-h)(x) = g(x) - h(x)

(g-h)(x) = (2x-4) - (x+2)

(g-h)(x) = 2x-4 - x - 2

(g-h)(x) = x - 6

(g-h)(-4) = -4 - 6

(g-h)(-4) = -10

--------------------

An alternative method:

g(x) = 2x-4

g(-4) = 2(-4)-4

g(-4) = -8-4

g(-4) = -12

h(x) = x+2

h(-4) = -4+2

h(-4) = -2

(g-h)(-4) = g(-4) - h(-4)

(g-h)(-4) = -12 - (-2)

(g-h)(-4) = -12 + 2

(g-h)(-4) = -10