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PtichkaEL [24]
3 years ago
12

PLEASE HEKLPP IF ITS RIGHT ILL GIVE BRSAINLIEST

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

Answer:

We conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

Step-by-step explanation:

Given

f(x) = 4x² - 1

g(x) = 1/2x + 5

h(x) = 2(x - 4)³

To determine

h(f(-1)) = ?

In order to determine h(f(-1)) first we need to determine f(-1).

substitute x = -1 in the function f(x) = 4x² - 1

f(-1) = 4(-1)² - 1

f(-1) = 4(1) - 1

f(-1) = 4-1

f(-1) = 3

so

h(f(-1)) = h(3)

now substitute h = 3 in the function h(x) = 2(x - 4)³

h(x) = 2(x - 4)³

h(3) = 2(3 - 4)³

h(3) = 2(-1)³

h(3) = 2(-1)

h(3) = -2

Thus,

h(f(-1)) = h(3) = -2

Hence, we conclude that:

h(f(-1))  = -2

∴ option D i.e. -2 is correct.

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