Question

for the given functions f and g find the following and state the domain of each result

f(x)=3x+1/8x-9; g(x)=5x/8x-9

A) (f+g)(x)=?
B)domain of (f+g)
c) (f/g)(x)=?
d) domain of f/g?

please show work

Answer 1

ok genius, When you type fast sometimes it happens...move along!

Answer 2

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
plot <function>
to see a graph of <function>

That should help you get a handle on the range