The required function f[g(x)] for the given functions is [tex](8x + 29)[/tex].
A function is the relation between the input and the output of a system.
Given functions are:
[tex]f(x) = 4x + 21\\g(x) = 2x + 2[/tex]
Therefore the required function is:
[tex]f[g(x)]\\= f(2x + 2)\\= 4(2x+2)+21\\= 8x+8+21\\= 8x+29[/tex]
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