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Let f(x) = 1/x-3. Find the largest x that is not in the domain of g(x) = f(f(x)) PLEASE HELP

 May 19, 2021
edited by Guest  May 19, 2021
 #1
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The largest x that is not in the domain of g(x) = f(f(x)) is x = 9.

 May 19, 2021
 #2
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Let f(x) = (1/x) -3. Find the largest x that is not in the domain of g(x) = f(f(x)) 

 

x cannot equal 0

and

(1/x)-3 cannot equal 0 either

 

\(\frac{1}{x}-3\ne0\\ \frac{1}{x} \ne 3\\\ x\ne \frac{1}{3} \)

 

x can't be 0 or 1/3

 

1/3 is the biggest.

 

Check out my graph:

the green graph is g(x)

 

https://www.desmos.com/calculator/tqa4i4h6hs

 May 19, 2021

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