Question

Let f(x) = x ^ 2 - x - 2 and g(x) = - 6x - 8. Find g(2) and f(g(2)). Mathfrak g (2)= Box (Simplify your answer. ) f(g(2)) = ( Simplify your answer. ).

Answer 1

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,

$f(x) = x^2 - x - 2$

The second function given,

$g(x) = - 6x - 8$

To find out the value of g(2), put the 2 on place of variable x in the above equation as,

$g(2) = - 6(2) - 8\\g(2)=-12-8\\g(2)=-20$

The composite function f(g(x)) can be given as,

$f(g(2))= (-20)^2 - (-20) - 2\\f(g(2))=418$

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:

brainly.com/question/10687170