Question

Find [ f.g](-4) for f(x) = x - 8 and g(x)=-x^2 +2

Answer 1

Answer: Buckle up this answer is gonna be a rollercoaster and here we go.

To find f.g, we first need to evaluate g(-4) and then use the result as the input for f(x).

We have:

g(-4) = -(-4)^2 + 2 = -16 + 2 = -14

Now, we use this result as the input for f(x):

f(g(-4)) = f(-14) = -14 - 8 = -22

Therefore, f.g = -22.

What a short ride.