List the steps in order to decompose the function h ( x ) = ( x - 5 ) 2 , where h ( x ) = g ( f ( x ) ) . arrow_upwardarrow_downward Since g ( x ) = x 2 , f ( x ) can now be found. f ( x ) = x - 5 arrow_upwardarrow_downward Looking at h ( x ) , notice the function is squared and see that the exponent 2 is being applied to ( x - 5 ) . arrow_upwardarrow_downward Find what g ( x ) would have to be to show a squared function. g ( x ) = x 2 arrow_upwardarrow_downward Check the composition of f ( x ) = x - 5 and g ( x ) = x 2 to verify h ( x ) = ( x - 5 ) 2 . g ( f ( x ) ) = g ( x - 5 ) = ( x - 5 ) 2 = h ( x )