mcbouchillon mcbouchillon
  • 03-04-2019
  • Mathematics
contestada

If f(x) = –2x + 7 and g(x) = x2 – 2, what is [f o g](3)?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-04-2019

Answer:

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

Step-by-step explanation:

The given functions are;

[tex]f(x)=-2x+7[/tex]

and

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

We need to first of all find [tex](f\circ g)(x)[/tex]

[tex](f\circ g)(x)=f(g(x))[/tex]

[tex](f\circ g)(x)=f(x^2-2)[/tex]

[tex](f\circ g)(x)=-2(x^2-2)+7[/tex]

[tex](f\circ g)(x)=-2x^2+4+7[/tex]

[tex](f\circ g)(x)=-2x^2+11[/tex]

We now plug in x=3

[tex](f\circ g)(3)=-2(3)^2+11[/tex]

[tex](f\circ g)(3)=-18+11[/tex]

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

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kiana627 kiana627
  • 15-01-2020

The answer is A. -7 on edge :)

Answer Link

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