Consider the following functions. f(x) = x − 2, g(x) = x2 Find (f + g)(x)

Algebra
Tutor: None Selected Time limit: 1 Day

Consider the following functions.
f(x) = x − 2,     g(x) = x2
Find 
(f + g)(x)
 
 

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

Find 
(f − g)(x).
 
 

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

Find 
(fg)(x).
 
 

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

Find 
f
g
(x).
 
 

Find the domain of 
f
g
(x).
 (Enter your answer using interval notation.) 
Jun 30th, 2015

Thank you for the opportunity to help you with your question!

(f + g)(x) = f(x) + g(x) = x − 2+ x^2

domain of 

(f + g)(x). = (-INFINITY to + INFINITY)


(f - g)(x) = f(x) - g(x) = x − 2- x^2

domain of 

(f - g)(x). = (-INFINITY to + INFINITY)


(fg)(x) = f(x)*g(x) = (x − 2) x^2= x^3- 2x^2

domain of 

(f g)(x). = (-INFINITY to + INFINITY)

( f/g )(x)= f(x)/ g(x)= (x − 2) / x^2

domain of 

(f g)(x). = (-INFINITY to -1, 1 to + INFINITY )    zero is not included in domain



Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 30th, 2015

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