Practice Test

General Mathematics WORKSHEET

Part I. Evaluate the given function below.

1. h ( x )=4 x 3+2 x 2−7 x−9 , findh(−2)




( 3 x 2+ 2 x−5 )
2. f ( x )= , find f (−3 )
5 x +7




3 3
3. g ( x )= ( x +3 x−9 ) +8 x 2−5 , find g(−5)
5




Part II. Perform the indicated operation.

f ( x )= { ( 2 ,−1 ) , (−3 ,−4 ) , ( 0,1 ) , ( 5,2 ) , (−2 ,−2 ) }
g ( x )={( 2 ,−3 ) , ( 1 ,−2 ) , (−3,5 ) , (−2,1 ) , 0 ,−4 ¿ }

1. ( f −g ) ( x )
2. ( f ∙ g ) ( x )

3. ( fg ) ( x )


Part III. Perform the following composition of functions

Given:
f ( x )= { ( 2 ,−1 ) , (−3 ,−4 ) , ( 0,1 ) , ( 5,2 ) , (−2 ,−2 ) }
g ( x )={ ( 2 ,−3 ) , ( 1 ,−2 ) , (−3,5 ) , (−2,1 ) , ( 0 ,−4 ) }
h ( x )= {( 1,2 ) , (−2,1 ) , ( 5,5 ) , (−4,0 ) , ( 3 ,−2 ) }

1.( f ∘ g ) ( x )

, 2.(f ∘ h)( x)



3. ( f ∘ h ) ( x )




4. ( g ∘h )( x )




5. ( h ∘ f ) ( x )



Part IV. Perform the following composition of functions.

3 2 2
f ( x )=4 x +2 x −7 x−9 g ( x )=5 x+7 h ( x )=( x+3)

1.( f +g ) ( x )




2.( g−f ) ( x )




( f ∙ h) ( x )
3.
h(x)




f (x)
4.
( g ∙ f )( x )