Find g o f if f(x)= 1/x+3  and  g(x)= -2/x and state the domain: I set this problem up as follows: g(f(x))= -2/1/x+3   Is that correct? Then the solution would be -2x+6 And I think the domain can't include x = 0, x = -3  Am I missing any?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Find g o f if f(x)= 1/x+3  and  g(x)= -2/x and state the domain:

I set this problem up as follows: g(f(x))= -2/1/x+3   Is that correct?

Then the solution would be -2x+6

And I think the domain can't include x = 0, x = -3  Am I missing any?

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Don't we exlude -3 from the domain because of the value of f(x)?

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