Let f (x) = x2 and g (x) = x - 3. Evaluate the expression (g ° g) (7)

This is a function composition with g (x) composed with g (x), then evaluated at 7.

g (g (x)) =

g (x - 3) =

x - 3 - 3 =

x - 6 =

7 - 6 = 1

OR

You could but 7 in the g (x) function. Get that result, and put it in g (x) again.

g (7) = 7 - 3 = 4

g (4) = 4 - 3 = 1

Either way, the answer is 1