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Write the Function F(x) as a Composition of F, G f(x)=x26g(x)=5xh(x)=x+5F(x)=5x2+30\begin{array} { l } f ( x ) = x ^ { 2 } - 6 \quad g ( x ) = - 5 x \quad h ( x ) = \sqrt { x + 5 } \\F ( x ) = - 5 x ^ { 2 } + 30\end{array}

Question 113

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- f(x) =x26g(x) =5xh(x) =x+5F(x) =5x2+30\begin{array} { l } f ( x ) = x ^ { 2 } - 6 \quad g ( x ) = - 5 x \quad h ( x ) = \sqrt { x + 5 } \\F ( x ) = - 5 x ^ { 2 } + 30\end{array}


A) F(x) =(gf) (x) F ( x ) = ( g \circ f ) ( x )
B) F(x) =(hg) (x) F ( x ) = ( h \circ g ) ( x )
C) F(x) =(fg) (x) F ( x ) = ( f \circ g ) ( x )
D) F(x) =(gh) (x) F ( x ) = ( g \circ h ) ( x )

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