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for the given functions f and g, find the following and state the domain of each result?
f(x)=2x+3/5x-1; g(x)=3x/5x-1
(a) (f+g)(x)=
(b) (f/g)(x)=
I really need help here. please show all steps
1 Answer
- CalibanLv 79 years agoFavorite Answer
(f+g)(x) = (2x+3)/(5x-1) + 3x/(5x-1) = (5x+3)/(5x-1)
Look at the denominator 5x-1;
remember you cannot divide by zero, so x cannot equal 1/5.
Because 5•1/5 = 1, and 1-1 = 0
So, the Domain is any number greater or less than 1/5
ANSWER: x does not equal 1/5
(-∞, 1/5) U (1/5, ∞)
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for problem b since it is fraction divided by fraction you
must flip the second fraction and then multiply.
(f/g)(x) = (2x+3)/(5x-1) • (5x-1)/3x
the two 5x-1 just cross cancel leaving
(2x+3)/(3x)
ANSWER: x cannot equal 0; since 3•0 = 0
(-∞, 0) U (0, ∞)
