HomeworkHelper004 HomeworkHelper004

20-08-2021
Mathematics

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Find (fog)(x) when f(x)=2/x+3 and g(x)=1/2x

Any help is appreciated :)

Find fogx when fx2x3 and gx12x Any help is appreciated class=

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jimrgrant1 jimrgrant1

20-08-2021

Answer:

1st option

Step-by-step explanation:

To find (f ￮ g)(x) substitute g(x) into f(x) , that is

f([tex]\frac{1}{2x}[/tex] )

= [tex]\frac{2}{\frac{1}{2x}+3 }[/tex]

= [tex]\frac{2}{\frac{1+6x}{2x} }[/tex]

= [tex]\frac{4x}{1+6x}[/tex]

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