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
2 answers
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
plot <function>
to see a graph of <function>
That should help you get a handle on the range
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