Respuesta :

h(x) = 4x - 10

Step-by-step explanation:

The given is:

  • f(x) = -2
  • g(x) = 4x - 8

We need to find h(x) = f(x) + g(x)

∵ f(x) = -2

∵ g(x) = 4x - 8

∵ h(x) = f(x) + g(x)

- Substitute f(x) and g(x) in h(x), and then add the like terms

∴ h(x) = (-2) + (4x - 8)

- Simplify the right hand side

∴ h(x) = -2 + 4x - 8

- Add like terms in the right hand side

∴ h(x) = 4x + (-2 - 8)

∵ -2 - 8 = -10

∴ h(x) = 4x + (-10)

∴ h(x) = 4x - 10

h(x) = 4x - 10

Learn more:

You can learn more about the functions in brainly.com/question/2645523

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