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Write the Function F(x) as a Composition of F, G

Question 221

Multiple Choice

Write the function F(x) as a composition of f, g, or h.
- f(x) =x2−8 g(x) =−3xh(x) =x+5 F(x) =x2−3\begin{array} { l } \mathrm { f } ( \mathrm { x } ) = \mathrm { x } ^ { 2 } - 8 \quad \mathrm {~g} ( \mathrm { x } ) = - 3 \mathrm { x } \quad \mathrm { h } ( \mathrm { x } ) = \sqrt { \mathrm { x } + 5 } \\\mathrm {~F} ( \mathrm { x } ) = \sqrt { \mathrm { x } ^ { 2 } - 3 }\end{array}


A) F(x) =(h∘f) (x) \mathrm { F } ( \mathrm { x } ) = ( h \circ f ) ( \mathrm { x } )
B) F(x) =(h∘g) (x) F ( x ) = ( h \circ g ) ( x )
C) F(x) =(f∘h) (x) F ( x ) = ( f \circ h ) ( x )
D) F(x) =(g∘h) (x) \mathrm { F } ( \mathrm { x } ) = ( \mathrm { g } \circ \mathrm { h } ) ( \mathrm { x } )

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