SOLUTION: f(x) = x^2 � 4 and g(x) = x � 2 (a) What is (f + g)(x)? (b) What is (f � g)(x)? (c) What is (fg)(x)? (d) What is (f/g)(x)?

Question 1023882: f(x) = x^2 � 4 and g(x) = x � 2
(a) What is (f + g)(x)?
(b) What is (f � g)(x)?
(c) What is (fg)(x)?
(d) What is (f/g)(x)?

Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
a) (f + g)(x) = (x^2 - 4) + (x - 2)
= x^2 + x - 6
b) (f - g)(x) = (x^2 - 4) - (x - 2)
= x^2 - x - 2
c) (fg)(x) = (x - 2)^2 - 4
= x^2 - 4x + 4 - 4
= x^2 - 4x
d) (f/g)(x) = (x^2 - 4)/(x - 2)
= (x - 2)(x + 2)/(x - 2)
(x - 2)s top and bottom cancel out
leaving x + 2.
Hope this helps :-)
RELATED QUESTIONS
1. f(x) = x^2 � 4 and g(x) = x � 2 (a) What is (f + g)(x)? (b) What is (f � g)(x)? (c) (answered by Alan3354)

3.14 Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the... (answered by nerdybill)

3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)

find the following a) (f+g)(x) b) (f-g)(x) c)(fg)(x)d)(f/g)(x) what is the domain of... (answered by solver91311)

========================================================================================== (answered by MathLover1)

3.21 Find f+g, f-g and f/g. Determine the domain for each function. f(x)=4x+8,... (answered by fractalier)

Given the parent functions f(x) = log10 x and g(x) = 5x − 2, what is f(x) � g(x)? (answered by ewatrrr)

For f(x)=x^2-3x-4, and g(x)=x-4... Evaluate and simplify the following: a) for what... (answered by MathLover1)

What is (fg)(2) given f(x) = 3x^2 - x and g(x) = x -... (answered by Cromlix)