Solve for (x) in F times G: (x - 3)^2 + 2 or x^2 - 6x + 11

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SUMMARY

The discussion centers on finding the composite function fg(x) for F(x) = x^2 + 2 and G(x) = x - 3. The correct interpretation of "F times G" is clarified as the composition of functions, denoted as F(G(x)), rather than multiplication. The resulting composite function is expressed as (x - 3)^2 + 2, which simplifies to x^2 - 6x + 11. This distinction is crucial for accurately solving the problem.

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sfeld
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F(X) = x^2 + 2; G(X) = x - 3

F times G

Now, I don't know if this problem is different but for the times sign for F times G, its an open circle, its not solid.

Answer is (x - 3)^2 + 2 or x^2 - 6x + 11
 
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Given [tex]f(x) = x^2 + 2[/tex] and [tex]g(x) = x-3[/tex] Find [tex]fg(x)[/tex] which is not quite the same as f(x)*g(x). You're supposed to find the composite function fg(x). I don't see the problem.
 
FoG(x) is defined as F(G(x)).

Since F(X) = x^2 + 2 and G(X) = x - 3,
F(G(x))= F(x-3)= (x-3)^2+ 2.
 

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