If [tex]f(x) = -2x + 7[/tex] and [tex]g(x) = x^2 - 2[/tex], find the general rule for [tex]f(g(x))[/tex].

f ( g ( x )) = − 2 ( x 2 − 2 ) + 7 = − 2 x 2 + 4 + 7 = − 2 x 2 + 11

Answered by konrad509 | 2024-06-10

The general rule for the composition of the functions f ( g ( x )) is − 2 x 2 + 11 . This was obtained by substituting g ( x ) into f ( x ) and simplifying. Therefore, f ( g ( x )) = − 2 x 2 + 11 .
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Answered by Anonymous | 2024-12-26