musicandvoice musicandvoice
  • 04-06-2021
  • Mathematics
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If f(x) = 3 – 2x and g (x) = 1/x+5 , what is the value of f/g (8)?

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reinhard10158
reinhard10158 reinhard10158
  • 04-06-2021

Answer:

-104/41

Step-by-step explanation:

f(8) = -13

g(8) = 41/8

f/g(8) = -13/1 / 41/8 = -(13×8) / (41×1) = -104 / 41

f/g(x) = (3-2x) / (1/x + 5) = (3-2x)/1 / ((1+5x)/x) =

= x×(3-2x) / (1+5x) = (3x - 2x²) / (1 + 5x)

for x=8 this gives the same result.

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