Answer:
f(g(4) = -11
Step-by-step explanation:
Whenever we are given a composite function where the output of one of the functions serves as an input for the second one, the first step is to evaluate the numerical output from the first function.
Output from first function: g(x) = [tex]x^{2} + x[/tex]
g(4) will be evaluated by substitution 4 for x in the above equation.
this will give us [tex]g(x)=4^{2}+4 =20[/tex]
Output from the composite function f(g(4)
The next stage is to input our results from the function g(4) into the function
f(x) = 9 - x. The output from g(4) which is 20, will now become our input.
[tex]f(x)-9-(20)= -11[/tex]
Therefore f(g(4) = -11
