augielowden augielowden
  • 22-04-2020
  • Mathematics
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If f(x)=3-2x and g(x)=1/x+15, what is the value of (f/g)(8)?

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ItzMikeSS
ItzMikeSS ItzMikeSS
  • 22-04-2020

Answer: [tex](\frac{f}{g})(8)=-\frac{104}{121}[/tex]

Step-by-step explanation:

[tex]f(x)=3-2x\\g(x)=\frac{1}{x}+15[/tex]

[tex](\frac{f}{g})(8)=\frac{3-2x}{\frac{1}{x}+15 } \\(\frac{f}{g})(8)=\frac{3-2(8)}{\frac{1}{8}+15 }\\(\frac{f}{g})(8)=\frac{3-16}{\frac{1+120}{8} } \\(\frac{f}{g})(8)=\frac{-13}{\frac{121}{8} }\\(\frac{f}{g})(8)=(-13)(\frac{8}{121} )\\(\frac{f}{g})(8)=-\frac{104}{121}[/tex]

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