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Dvinal [7]
3 years ago
8

Please help!!! Composition of functions~

Mathematics
1 answer:
Ber [7]3 years ago
7 0

Answer:

g(h(-8)) = 119

Hence, option B) is true.

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)), first we need to determine h(-8), so

substituting x = -8 in h(x) = x² - 2

h(x) = x² - 2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so we can write

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

now, to determine g(62), substitute x = 62 in g(x) = 2x-5v

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

Hence, option B) is true.

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