2. If f (x) = x - 5 and g (x) = x2 + 3, find f[g (-2) ].

Answer: 2

Step-by-step explanation:

F (x) = X-5

G (x) = X2 + 3

Find F (g (-2))

G (x) = x2 + 3

G (x) = G (-2);

X = - 2

Substitute for x in g equation

G (-2) = (-2) ^2+3

=4+3

=7

Therefore G (-2) = 7

F (g (-2)) = x-5

Substitute for g (-2) = 7

F (7) = 7-5

=2

= 2

Step-by-step explanation:

# g (x) = x^2 + 3 hence g (-2) = (-2) 2+3=4+3=7

and so f (g (-2)) = f (7) = 7 - 5 = 2