The value of the required function f[g(7)] is 85.
What is a function?
A function is a 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:
[tex]f(g(x))\\= 4g(x)+21\\= 4(2x+2)+21\\= 8x+8+21\\= 8x+29[/tex]
Now,
[tex]f[g(7)]\\= 8(7)+29\\= 56+29\\= 85[/tex]
Learn more about a function here: https://brainly.com/question/12854410
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