Question

Consider the functions f(x) = x2 − 13 and g(x) = x + 5. What is the value of f[g(−4)]?

Answer 1

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 2

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