SOLUTION: find the following a) (f+g)(x) b) (f-g)(x) c)(fg)(x)d)(f/g)(x)
what is the domain of f/g?
f(x)=2x-5, g(x)= 1-x
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Question 179741: find the following a) (f+g)(x) b) (f-g)(x) c)(fg)(x)d)(f/g)(x)
what is the domain of f/g?
f(x)=2x-5, g(x)= 1-x
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If  = 2x - 5)
and If  = 1 - x )
then:
(x) = f(x) + g(x) = (2x - 5) + (1 - x))
(x) = f(x) - g(x) = (2x - 5) - (1 - x))
(x) = \[f(x)\]\[g(x)\] = (2x - 5)(1 - x))
(x) = \frac {f(x)}{g(x)} = \frac {(2x - 5)}{(1 - x)})
You just have to do the simplifications. The domain of (x))
is all real numbers excluding any value that would make the function undefined. Hint: What value for x would cause you to divide by zero? Exclude that value.
John
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