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anonymous
 one year ago
If f(x)=(x+1)^−1 and g(x)=x−2, what is the domain of f(x)÷g(x)?
anonymous
 one year ago
If f(x)=(x+1)^−1 and g(x)=x−2, what is the domain of f(x)÷g(x)?

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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well rewrite it as \[f(x) = \frac{1}{x + 1}\] then if you divide by g(x) its \[\frac{1}{(x + 1)} \div (x 2)~~~or ~~~\frac{1}{x +1} \times \frac{1}{x 2}\] so the domain is all real x, except there are 2 excepts.... you need to find them....

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well you have the correct values for the exclusions.... but if you look at the domain you stated, you could have x = 0.... so I'd say all real x, except \[x \neq 1 or 2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i have the answer choice "all values of x" , (∞,−1),(−1,2), and (2,∞) , (−∞,2) and (2,∞) , & (−∞,−1] and [2,∞)

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1so looking at the problem... things don't match my thinking... as x = 1 is aslo between the values x = 1 and x = 2 substitute x = 1 and you still get a numerical value... so I'll let someone else who is smarter help you.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That's okay, I appreciate your help anyways

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How about "If f(x)=2x^2−x−6 and g(x)=x^2−4, what's f(x)÷g(x)?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1here is a graph of the curves...

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well for this question... its simple, start by factoring \[\frac{2x^2  x  6}{x^2  4} = \frac{(2x + 3)(x  2)}{(x +2)(x2)}\] and hopefully you can finish it from here.
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