KenleeE423804 KenleeE423804
  • 25-10-2022
  • Mathematics
contestada

Let f (2) = x? and g(2) r” and g(2) = 77 - 2. What is (fog)(x)? What is (fog)(0)?

Let f 2 x and g2 r and g2 77 2 What is fogx What is fog0 class=

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PalynF600371 PalynF600371
  • 25-10-2022

This is function composition, so:

[tex]\begin{gathered} f(x)=x^2,g(x)=\sqrt[]{7-x}\text{ } \\ (f\circ g)(x)=f(g(x))=g(x)^2=(\sqrt[]{7-x})^2 \\ (f\circ g)(x)=(\sqrt[]{7-x})^2 \end{gathered}[/tex]

And (f o g)(0) is:

[tex]\begin{gathered} (f\circ g)(0)=(\sqrt[]{7-0})^2 \\ (f\circ g)(0)=(\sqrt[]{7})^2=7^{} \end{gathered}[/tex]

The answer is (f o g)(0) = 7

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