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

The value of
`f[g(-4)]` is, -12

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