Answer:
25
Step-by-step explanation:
Another way to write (f°g)(x) is f(g(x)). This is a composite function: first, we have to evaluate g(x), and then evaluate f(x) where x is the solution to g(x). Let's start by evaluating g(4), given that g(x) is [tex]5-x^2[/tex] :
[tex]g(4)=5-4^2=5-16=-11[/tex]
Now, lets evaluate f(g(4)), which is f(-11), given that f(x) is -2x + 3:
[tex]f(-11)=-2(-11)+3=22+3=25[/tex]
Therefore, our answer is 25
