Composition of functions with equations

1. Combinations from yesterday...
f(x) + g(x)
...which we evaluated for a given
f(x) ­ g(x) numerical value.
f(x) g(x) ex: f(2) ­ g (­3)
f(x) ÷ g(x) g ( f ( ­1) )
f ( g (x) ) or ( f g )(x)
1

2. Day 6 ­ Writing Equations from Combinations
Let j(x) = √x k(x) = x ­ 2 l(x) = x2 + 2x ­ 8
1. l(x) ­ k(x) 2. j(x) k(x)
3. k(x) ÷ l(x) 4. k(x) ÷ j(x)
2

3. Let j(x) = √x
x k(x) = x ­ 2
x ­ 2 l(x) = x2 + 2x ­ 8
x + 2x ­ 8
** 5. ( j (k (x)) 6. ( j (l (x))
** Extra: l (k (x)) =
**Find domain
3

4. ** 7. (m n)(x) ** 8. (n m)(x)
**Find domain
4

5. 9. If and , find
an x that satisfies
5

6. Practice
6