Q1: Find f + g, f − g, fg, and f/g and their domains.

Question

f(x) = x, g(x) = 2x

a) Find (f + g)(x).

b) Find the domain of (f + g)(x).(Enter your answer using interval notation.)

c) Find (f − g)(x).

d) Find the domain of (f − g)(x). (Enter your answer using interval notation.)

e) Find (fg)(x).

f) Find the domain of (fg)(x). (Enter your answer using interval notation.)

g) Find (f/g)(x).

h) Find the domain of (f/g)(x). (Enter your answer using interval notation.)

Answer 1

given: f(x) = x, g(x) = 2x

a) (f+g)(x) = x + 2x = 3x

domain: clearly x is an element of R, leave it up to you to write
that in interval notation.

c) and d) ..... just as easy

e) Find (fg)(x)
= x(2x) = 2x^2

domain: again , very straighforward

g) (f/g)(x)

what do you think??