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3 years ago

Please help I’ll give brainliest if correct

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

4 0

Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

f(x)= 4x³ – 10

g(x) = 3x - 4 /2

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) = [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] / [2]

g(22) = 31

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

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4 years ago

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