Consider the functions f (x) = x to the second power + 9x and g (x) = 1/x.

F (g (-1)) is?

g (f (1/2)) is?

Let's first calculate the inner functions, then fill in in the outer one:

g (-1) = 1/-1 = - 1.

f (-1) = (-1) ^2 + 9 (-1) = 1 - 9 = - 8

And then

f (1/2) = (1/2) ^2 + 9 (1/2) = 1/4 + 9/2 = 19/4

g (19/4) = 4/19