nsaquic0001 nsaquic0001
  • 22-04-2022
  • Mathematics
contestada

if t(x)=3-2x and g(x)=1/x+5, what is the value of (f/g)(8)

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gift1723
gift1723 gift1723
  • 25-04-2022

Step-by-step explanation:

I'll assume you meant f(x) = 3 - 2x and not t(x) = 3 - 2x

[tex] \frac{3 - 2x}{ \frac{1}{x + 5} } \times 8[/tex]

[tex]((3 - 2x) \times ( \frac{x + 5}{1} )) \times 8[/tex]

[tex]((3 - 2x)(x + 5)) \times 8[/tex]

[tex]( - 2 {x}^{2} - 7x + 15) \times 8[/tex]

[tex]( \frac{f}{g}) \times 8 = - 16 {x}^{2} - 56x + 120[/tex]

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