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