astar56540 astar56540
  • 22-12-2020
  • Mathematics
contestada

The function g is defined by:

The function g is defined by class=

Respuesta :

LammettHash
LammettHash LammettHash
  • 22-12-2020

g(x) = x² - x - 6

so

g (-4) = (-4)² - (-4) - 6 = 16 + 4 - 6 = 14

When g(x) = 6, we have

6 = x² - x - 6

x² - x - 12 = 0

Solve for x. We factorize this easily as

(x - 4) (x + 3) = 0

which gives

x - 4 = 0   or   x + 3 = 0

x = 4   or   x = -3

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