SOLUTION: Let g (x) = x-17 ____ x+3 (a) Calculate g(-4) (b) State the domain of the function g(x) x-17 ____ x+3 (c) Find g (t+1) and simplify as much as possible. Show wor

Algebra ->  Linear-equations -> SOLUTION: Let g (x) = x-17 ____ x+3 (a) Calculate g(-4) (b) State the domain of the function g(x) x-17 ____ x+3 (c) Find g (t+1) and simplify as much as possible. Show wor      Log On


   

Question 363657: Let g (x) =
x-17
____
x+3
(a) Calculate g(-4)
(b) State the domain of the function g(x)
x-17
____
x+3
(c) Find g (t+1) and simplify as much as possible. Show work.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
g%28x%29=%28x-17%29%2F%28x%2B3%29
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.
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a)g%28-4%29=%28-4-17%29%2F%28-4%2B3%29=%28-21%29%2F%28-1%29=highlight%2821%29
.
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b) All x except those that make the denominator equal zero.
x%2B3=0
x=-3
Domain:(-infinity,-3) U (-3,infinity)
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.
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c) g%28t%2B1%29=%28t%2B1-17%29%2F%28t%2B1%2B3%29=highlight%28%28t-16%29%2F%28t%2B4%29%29