Composition of functions~

Hence, option B) is true.

Step-by-step explanation:

Given

g(t) = t² - 2

h(t) = t + 4

To determine

Using the formula

In order to determine g(h(-4)), first we need to determine h(-4), so

substituting t = -4 in h(t) = t + 4

h(t) = t + 4

h(-4) = -4 + 4

h(-4) = 0

so we can write

now, to determine g(0), substitute t = 0 in g(t) = t² - 2v

g(t) = t² - 2

g(0) = (0)² - 2

g(0) = 0 - 2

g(0) = -2

so, finally we get

Therefore,

Hence, option B) is true.

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step-by-step explanation: