The value of g(f(2)) is 31 which correct option(D).
What is function?
The function is defined as mathematics expression defines a relationship between one variable and another variable.
f(x) = 4x³-10
g(x) = 3x-4/2
Substitute value of f(x) in g(x),
[tex]g(f(x)) = \dfrac{3(4x^3-10) - 4}{2}\\g(f(x)) = \dfrac{12x^3-30 - 4}{2}\\g(f(x)) = \dfrac{12x^3-34}{2}[/tex]
g(f(x)) = 6x³-17
Substitute x = 2,
g(f(2)) = 6(2)³-17
g(f(2)) = 6(8)-17
g(f(2)) = 31
Learn more about function here:
brainly.com/question/12431044
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