Question

Find a) the domain of f,g, f+g, f-g, fg, ff, f/g, and g/f.
b) Find (f+g) (x), (fg)(x), (ff)(x), (f/g)(x), and (g/f)(x).

1. f(x)=x+2. g(x)=sq root of x-1

2. f(x)=2x^2, g(x)=2/(x-5)

Answer 1

The domain is a set of all the values you can make x that will work and give back a value y

Answer 2

f(x) = x + 2 --> you can use any value for x. The domain is all reals -infinity<x<infinity

\[g(x)=\sqrt{x-1}\] --> recall the graph of the general square root function...y = sqrt(x)