Algebra 2 Function Operations help!?

Question

There are 2 problems I would apperciate for someone to help me with.

1.) Let f(x) = x – 2/4 and g(x) = 2x^2 + 4
a. Find f(g(x)).
b. Find g(f(x)).

2.) Consider the function F(x) = 5 √(x + 8)
a. Find the domain and range of f.
b. Find f(negative 1).
c. Find the domain and range of f(neg.1).

Once again I really appreciate it! =)

Answer 1

f(g(x)) = (2x^2+4-2)/4 = (x^2+1)/2

g(f(x)) = 2[(x-2)/4]^2 +4
= 2[x^2-4x+4]/16+4
= (x^2 -2x +2)/8 +4
= (8x^2 -16x +20)/8

Answer 2

1.) a. 3, b. 3
2.) a. ?, b. 13.22, c. ?