SOLUTION: f(x) = 2x -1 g(x) = Square root (x-1) Find the domain of f, g, f+g, f-g, fg, ff, f/g, and g/f. I actually got the answers to the domain of f and g, but i'm confused on how

Question 101203: f(x) = 2x -1
g(x) = Square root (x-1)
Find the domain of f, g, f+g, f-g, fg, ff, f/g, and g/f.

I actually got the answers to the domain of f and g, but i'm confused on how to find the others based on just f and g.
Like for the domain of f, I got (-infinity, positive infinity)
then for the domain of g, (negative infinity, 1) U (1, positive infinity)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(x) = 2x -1
g(x) = Square root (x-1)
Find the domain:
f: all real numbers
g: x>=1
f+g: x>=1 because sqrt(x-1) is one of the terms
f-g: x>=1 becaue sqrt (x-1) is one of the terms
fg= f(sqrt(x-1))= 2sqrt(x-1)-1: x>=1 same reason
ff: all Real numbers
f/g = (2x-1)/sqrt(x-1)
Domain is x > 1
g/f = sqrt(x-1)/(2x-1)
Domain is x>=1
=====================
Cheers,
Stan H.

RELATED QUESTIONS
F(x)=3x+7 and g(x)=1-6x A: domain of f,g,f+g,f-g,fg,ff,f/g, and g/f B:... (answered by Fombitz)

f(x)= 1/x-1; g(x)= √x find f(g(g)) and g(f(g)). State the... (answered by stanbon)

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)

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)

f g, f-g, fg and f/g. determine the domain for each function f(x) f(x)=3x+4, g(x)=x+3... (answered by stanbon)

Consider the following functions. f(x) = x^2 + 5x, g(x) = 7x^2 − 1 Find (f +... (answered by harpazo)

3. If f(x)=square root 2x^2-1 and g(x)=x^1/2, find (and simplify) a) (f+g)(x) b)... (answered by CPhill)

Find the function f+g, f-g, fg and f/g f(x)= sqrt(x-1);... (answered by josgarithmetic)