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Sagot :
The value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.
What is composite function?
When a function is written inside the another function, then such function is called the composite function.
The first function given in the problem is,
[tex]f(x) = x^2 - x - 2[/tex]
The second function given,
[tex]g(x) = - 6x - 8[/tex]
To find out the value of g(2), put the 2 on place of variable x in the above equation as,
[tex]g(2) = - 6(2) - 8\\g(2)=-12-8\\g(2)=-20[/tex]
The composite function f(g(x)) can be given as,
[tex]f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418[/tex]
Thus, the value of the function f(g) after simplifying and putting 2 in place of x is -20 and the value of f(g(2)) is 418.
Learn more about the composite function here:
https://brainly.com/question/10687170
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