The value of F(G(x)) is 2x^2 - 13
The functions are given as:
F(x)=2x+1
G(x)=x^2-7
To find (FxG)(x), we make use of
(FxG)(x) = F(G(x))
So, we have:
F(G(x))=2G(x)+1
Substitute G(x)=x^2-7
F(G(x))=2(x^2-7)+1
Expand
F(G(x))=2x^2 - 14 + 1
Evaluate the like terms
F(G(x))=2x^2 - 13
Hence, the value of F(G(x)) is 2x^2 - 13
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