Verified Answer :

jsff42

first find g(-4) 
so :
g(-4) = (-4) + 5 
g(-4) = 1 

then find f(g(-4)) which means to substitute the value of g(-4) in for x in f(x) 
so:
f(1) = 1^2 - 13
f(1) = 1 -13 
f(1) = -12

Answer:

The value of  \(f[g(-4)]\) is, -12

Step-by-step explanation:

Given the functions:

\(f(x) = x^2-13\)

\(g(x) = x+5\)

We have to find the value of \(f[g(-4)]\)

Substitute the value of x = -4 in g(x) we have;

\(g(-4) = -4+5 = 1\)

Now;

\(f[g(-4)] = f[1]\)

then;

\(f[g(-4)] = (1)^2 -13 = 1-13 = -12\)

Therefore, the value of  \(f[g(-4)]\) is, -12