# SOLUTION: given f(x) = x-3 and g(x) = x^2 +2 a)find(f+g)(x) whats the domain and range b) find f/g (x) whats the domain and range find g/f (x) whats the domain and range thanks fo

Algebra ->  -> SOLUTION: given f(x) = x-3 and g(x) = x^2 +2 a)find(f+g)(x) whats the domain and range b) find f/g (x) whats the domain and range find g/f (x) whats the domain and range thanks fo      Log On

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Click here to see ALL problems on Graphs Question 693748: given f(x) = x-3 and g(x) = x^2 +2 a)find(f+g)(x) whats the domain and range b) find f/g (x) whats the domain and range find g/f (x) whats the domain and range thanks for ur help, i am really confused rite now lolAnswer by stanbon(60771)   (Show Source): You can put this solution on YOUR website!given f(x) = x-3 and g(x) = x^2 +2 a)find(f+g)(x) whats the domain and range (f+g)(x) = f(x)+g(x) = x^2+x-1 ------ Domain:: All Real Numbers Range::: Find the vertex: x = -b/(2a) = -1/2 f(-1/2) = (1/4)-(1/2)-1 = -5/4 Range is "All Real Numbers >= -5/4" --------------------------------------------- b) find f/g (x) whats the domain and range f/g = f(x)/g(x) = (x-3)/(x^2+2) Domain: All Real Numbers as there are no vertical asymptotes. Range: All Real numbers except y = 0 because that is a horizontal asymptote. --------------------------------------------- find g/f (x) whats the domain and range g/f = g(x)/f(x) = (x^2+2)/(x-3) Domain: All Real Numbers except x = 3, which is a vertical asymptote. Range: All Real Numbers because there is no horizontal asymptote. =================== Cheers, Stan H.