1. Find (f·g)(x) where f(x) = 1/x²+3 and g(x) = √x-2.

Question

a) (f·g)(x) = 1/x-2
b) (f·g)(x) = 1/√x-2 +3
c) (f·g)(x) = √-2x²-5/x²+3

2. Find (g·f)(x) where f(x) = x²-2 and g(x) = 5x-8.
a) (g·f)(x) = 5x²-18
b) (g·f)(x) = 5x²-4
c) (g·f)(x) = 25x²+80x+62
d) (g·f)(x) = 5x²-10

3. Determine the domain of the function (f·g)(x) where f(x) = x²/x²-1 and g(x) = √x+4.
a) (-∞,-1)∪(-1,1)∪(1,∞)
b) (-4,-3)∪(-3,∞)
c) (-∞,-3)∪(-3,∞)
d) [-4,-3)∪(-3,∞)

Answer 1

and what are your answers?