posted by Anonymos .
for the given functions f and g find the following and state the domain of each result
B)domain of (f+g)
d) domain of f/g?
please show work
ok genius, When you type fast sometimes it happens...move along!
assuming you mean
f(x) = (3x+1)/(8x-9)
g(x) = 5x/(8x-9)
(f+g)(x) = [(3x+1)+5x]/(8x-9) = (8x+1)/(8x-9)
(f/g)(x) = (3x+1)/(8x-9) * (8x-9)/5x = (3x+1)/5x
domain is all reals except where the denominator is zero.
visit wolframalpha.com and type
to see a graph of <function>
That should help you get a handle on the range