SOLUTION: I sure hope someone can help me on this.. For the functions f and g, find the following and state the domain of each result. f(x)=3x+2/5x-7 g(x)=4x/5x-7 a.) what is the dom

Algebra ->  Rational-functions -> SOLUTION: I sure hope someone can help me on this.. For the functions f and g, find the following and state the domain of each result. f(x)=3x+2/5x-7 g(x)=4x/5x-7 a.) what is the dom      Log On


   



Question 971254: I sure hope someone can help me on this..
For the functions f and g, find the following and state the domain of each result.
f(x)=3x+2/5x-7
g(x)=4x/5x-7
a.) what is the domain of f+g?
(f+g)(x)= ?
b.) what is the domain of f/g?
(f/g)(x)= ?

Answer by khai(18) About Me  (Show Source):
You can put this solution on YOUR website!
a) f(x)+g(x) = [(3x+2)/(5x-7)] + [(4x)/(5x-7)]
= [(3x+2+4x)/(5x-7)]
= (7x+2)/(5x-7)
the domain for (a) is all real except 7/5 which is 1.4
b) f(x)/g(x) = [(3x+2)/(5x-7)]/[(4x)/(5x-7)]
= [(3x+2)/(5x-7)]
= (3x+2)/(4x)
the domain for (b) is all real except 0