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Write the Function F(x) as a Composition of F, G f(x)=x21g(x)=4xh(x)=x2F(x)=x23\begin{array} { l } f ( x ) = x ^ { 2 } - 1 \quad g ( x ) = - 4 x \quad h ( x ) = \sqrt { x - 2 } \\F ( x ) = \sqrt { x ^ { 2 } - 3 }\end{array}

Question 171

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- f(x) =x21g(x) =4xh(x) =x2F(x) =x23\begin{array} { l } f ( x ) = x ^ { 2 } - 1 \quad g ( x ) = - 4 x \quad h ( x ) = \sqrt { x - 2 } \\F ( x ) = \sqrt { x ^ { 2 } - 3 }\end{array}


A) F(x) =(hf) (x) \mathrm { F } ( \mathrm { x } ) = ( \mathrm { h } \circ \mathrm { f } ) ( \mathrm { x } )
B) F(x) =(hg) (x) F ( x ) = ( h \circ g ) ( x )
C) F(x) =(gh) (x) \mathrm { F } ( \mathrm { x } ) = ( \mathrm { g } \circ \mathrm { h } ) ( \mathrm { x } )
D) F(x) =(fh) (x) F ( x ) = ( f \circ h ) ( x )

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