If function / is defined by f (x) = x2 - 2x + 6

and function g is defined by g (x) = 3x - 4,

what is f (g (3)) ?

21

Step-by-step explanation:

Start with the inside first.

The inside is g (3).

g (3) can be found by using function, g.

g (x) = 3x-4 so g (3) = 3 (3) - 4=9-4=5.

So now we have that:

f (g (3))

f (5)

We can find f (5) by replacing x in the expression x^2-2x+6 with 5:

(5) ^2-2 (5) + 6

25-10+6

15+6

21

This means f (g (3)) = f (5) = 21