Composition of functions~

Hence, option B) is true.

Step-by-step explanation:

Given

g(x) = 2x-5

h(x) = x² - 2

To determine

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

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,

Therefore,

Hence, option B) is true.

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step-by-step explanation:

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.