If f(x) = 3 – 2x and g (x) = StartFraction 1 Over x + 5 EndFraction, what is the value of (StartFraction f Over g EndFraction) (8)?

Respuesta :

f(x) = 3 - 2x

[tex]g(x) = \frac{1}{x + 5}[/tex]

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

[tex](\frac{f}{g}(8) = (3 - 2x).(x + 5)[/tex]

[tex](\frac{f}{g}(8) = 3.x + 3.5 - 2x.x - 2x.5 = 3x + 15 - 2x^2 - 10x[/tex]

[tex](\frac{f}{g}(8) = -2.8^2 - 7.8 + 15 = -2.64 - 56 + 15 = -169[/tex]

Answer:

A. -169

Step-by-step explanation:

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