alexiso2004p05mij alexiso2004p05mij
  • 29-09-2021
  • Mathematics
contestada

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

Find fogx when fx2x3 and gx 12x class=

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jimrgrant1 jimrgrant1
  • 29-09-2021

Answer:

1st option

Step-by-step explanation:

To obtain (f ○ g)(x) , substitute x = g(x) into f(x)

(f ○ g)(x)

= f(g(x)

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

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

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

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

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