Respuesta :

absor201

Answer:

g(h(-8)) = 119

Step-by-step explanation:

Given

  • g(x)=2x-5
  • h(x)=x²-2

To determine

  • g(h(-8)) = ?

In order to determine g(h(-8)), we need to determine h(-8) first

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

g(h(-8)) = g(62)

now substituting x = 62 in g(x)=2x-5

g(62)=2(62)-5

g(62) = 124 - 5

g(62) = 119

so

g(h(-8)) = g(62) = 119

Therefore,

  • g(h(-8)) = 119

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