Question

Please help I’ll give brainliest if correct

Answer 1

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

so

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

so

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

Therefore, the value of g(22) = 31

Hence, option D is correct.