nadyledia nadyledia
  • 28-08-2019
  • Mathematics
contestada

Let f(x) = 1 / x and g(x) = x ^ 2 - 2. What is (f g)(-3) )?

Respuesta :

calculista
calculista calculista
  • 28-08-2019

Answer:

[tex]f(g(-3))=1/7[/tex]

Step-by-step explanation:

we have

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

[tex]g(x)=x^{2} -2[/tex]

we know that

[tex](fg)(x)=f(g(x))=\frac{1}{x^{2} -2}[/tex]

For x=-3

substitute

[tex]f(g(-3))=\frac{1}{(-3)^{2} -2}=1/7[/tex]

therefore

[tex]f(g(-3))=1/7[/tex]

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