Name: _____________________________________________________________ Date: _________________
Algebra 2 Function Operations & Compositions
If 1)(
2
−= xxf ,
32)(
−
=
xxg , and xxh 41)(
−
=
, find the following new functions, as well as any values
indicated.
1.
a. ))(( xgf
−
= b. )3)(( gf
−
=
2.
a. ))(( xfg
+
= b. )2)((
−
+
fg =
3.
a.
=
+
))(( xhf b. )0)(( hf
+
=
4.
a. ))(( xhg
⋅
= b. )4)(( hg
⋅
=
5.
a. ))(( xgf
⋅
= b. )1)((
−
⋅
gf =
6.
a. )(x
g
f
= b. )2(
g
f=
7.
a.
=
)(x
h
g b. =
)0(
h
g
