Asked by Gloria
I need to find the domain of f, the excluded values of f, the domain of (fg)(x); find (f+g)(-5), (f-g)(x), and (fg)(x) to the problem of:
Let f(x)=(7x+1)/(3x+2) and g(x)=6x+5.
Let f(x)=(7x+1)/(3x+2) and g(x)=6x+5.
Answers
Answered by
Steve
excluded values for the domain of f: when 3x+2 = 0
Otherwise the domain of f and g is all reals.
f+/-g = (x+1)/(3x+2) +/- (6x+5), so same domain as f.
fg = (7x+1)(6x+5)/(3x+2), so the domain is the same as that of f
(f+g)(-5) = f(-5)+g(-5) = -34/-13 - 25
Otherwise the domain of f and g is all reals.
f+/-g = (x+1)/(3x+2) +/- (6x+5), so same domain as f.
fg = (7x+1)(6x+5)/(3x+2), so the domain is the same as that of f
(f+g)(-5) = f(-5)+g(-5) = -34/-13 - 25
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