If f (x) = - 2x2 - 3 and g (x) = 3x - 4, then f (g (2)) =

f (g (2)) = - 11

Step-by-step explanation:

f (g (2)) =

First we need to find g (2)

g (x) = 3x-4

We let x=2

g (2) = 3 (2) - 4

6-4

=2

Now we stick the value of g (2) in for x in f (x)

f (x) = - 2x^2 - 3

f (2) = - 2 (2) ^2 - 3

=-2 (4) - 3

= - 8 - 3

=-11

If f (x) = - 2x2 - 3 and g (x) = 3x - 4, then f (g (2)) = f (g (2)) = - 11