1. Algebra II Function Operation Examples
For the following functions, perform the indicated operation
in each problem and then state the domain of each answer.
If there are restrictions in the domain, show work to support
your answer(s).
f(x) = 5x – g(x) = 7x h(x) = 6x2 – 13x j(x) = 3x2 – x + 26
k(x) = 11x – m(x) = 8x2 – 13x - 34
g(x) + f(x) j(x) - m(x)
f(x)  g(x) g(x)  h(x)
h(x) – f(x) g(x) + j(x)
7. j(x) – h(x) k(x)  h(x)

2. Composition of Functions Examples
Use the functions below to complete the following composition problems.
Show work!
f(x) = 8x – 56 g(x) = 4x2 – h(x) = x – 42 2
j(x) = -6x k(x) = 1x m(x) = (x + 35) 4
f(g(x)) k(f(x)) h(g(x))
m(f(x)) h(j(x)) k(g(x))
7. f(k(x)) g(m(x))

3. Algebra II Function Operation Practice
For the following functions, perform the indicated operation
in each problem and then state the domain of each answer.
If there are restrictions in the domain, show work to support
your answer(s).
f(x) = 9x – g(x) = 11x h(x) = 12x j(x) = 4x2 – 9x - 15
k(x) = 5x2 -13x – 8 L(x)= 15x2 + 11x – 6 m(x) = 8x2 – 3x + 17
f(x) + g(x) h(x) - j(x)
g(x)  h(x) f(x)  m(x)
L(x) – k(x) j(x) + L(x)
g(x)  j(x) j(x) – m(x)
g(x)  L(x) f(x)  h(x)
j(x) – k(x) + f(x) m(x) – L(x) – h(x)

4. Composition of Functions Practice
Use the functions below to complete the following composition problems.
Show work!
f(x) = 8x – 44 g(x) = 4x2 – h(x) = x + 28 4
j(x) = -18x k(x) = 1x m(x) = (x – 43) 2
f(g(x)) k(f(x)) m(f(x))
h(j(x)) h(f(x)) k(j(x))
f(h(x)) f(k(x)) g(m(x))
k(g(x)) m(j(x))