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Domain and range

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Let $f(x)=\frac{1}{2x-5}$ . Find the largest $x$ which is not in the domain of $g(x)=f(f(x))$ .

Help is appreciated!!!

vockeyvockvock Feb 5, 2021

3⁺⁰ Answers

+130466

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f ( f(x) ) = 1 1

_______________ = _________________ =

2 ( 1/ (2x -5) ) - 5 2/ (2x - 5) - 5

2x - 5 2x - 5

______________ = ________

[ 2 - 5(2x - 5)] 27 -10x

The denominator cannot = 0

27 -10 x = 0

27 = 10x

x = 27 /10 is not in the domain

CORRECTED !!!!!

CPhill Feb 5, 2021

edited by CPhill Feb 5, 2021

+134

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nice, CPhill! but when you solved for f(f(x)), did you maybe forget the 1/ part of the function?

and did you maybe do 2x+5 instead of 2x-5? or maybe you just did some simplifying and i didn't follow that, sorry if that is what you did and i just didn't notice ;o

macar0ni Feb 5, 2021

edited by macar0ni Feb 5, 2021
edited by macar0ni Feb 5, 2021
edited by macar0ni Feb 5, 2021
edited by macar0ni Feb 5, 2021

+130466

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Oops...slight error....corrected now !!!

CPhill Feb 5, 2021

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