jwhill355 jwhill355
  • 22-01-2021
  • Mathematics
contestada

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

Respuesta :

jimthompson5910 jimthompson5910
  • 22-01-2021

Answer:   -10

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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

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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

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