Kristian,

I am going to solve a similar problem.

f(x) = (x + 2)² and g(x) = 1/x - 3

find (f o g)x

The expression (f o g)x is another way of writing f(g(x)). Let's evaluate this first with x a particular number, say x = 5. To evaluate f(g(5)) you first evaluate

g(5) = 1/5 - 3 = - 2 ⁴/₅.

Hence

f(g(5)) = f(- 2 ⁴/₅) = (- 2 ⁴/₅ + 2)² = (-4/5)² = 16/25

Now do it again using the variable x.

g(x) = 1/x - 3

Hence

f(g(x)) = f(1/x - 3) = (1/x - 3 + 2)² = (1/x - 1)²

Now try your problem. If you need further assistance write back.

Penny