1. Operations on Functions Day 1 – Add, Subtract, Multiply and Divide
6.1
Operations on Functions
Day 1 – Add, Subtract, Multiply and Divide

3. Example 1
A. Given f(x) = 3x2 + 7x and g(x) = 2x2 – x – 1, find (f + g)(x).

4. B. Given f(x) = 3x2 + 7x and g(x) = 2x2 – x – 1, find (f – g)(x).

5. Example 2
A. Given f(x) = 3x2 – 2x + 1 and g(x) = x – 4, find (f ● g)(x). Find the domain for the combined function

6. Remember – you cannot have a 0 in the denominator of a function!
B. Given f(x) = 3x2 – 2x + 1 and g(x) = x – 4, find
Then find the domain for the combined
function

7. C. Given f(x) = 2x2 + 3x – 1 and g(x) = x + 2, find
C. Given f(x) = 2x2 + 3x – 1 and g(x) = x + 2, find Find the domain for each combined function

8. Operations on Functions Day 2 – Composite Functions
6.1
Operations on Functions
Day 2 – Composite Functions

9. Composite Functions
Another way to combine functions is a composition of functions. In a composition of functions, the results of one function are used to evaluate a second function.

10. Example 3 B. Find [f ○ g](x) and [g ○ f](x) for
f(x) = 3x + 4 and g(x) = 2x – 1. State the domain for each combined function.

11. B. Find [f ○ g](x) and [g ○ f](x) for
f(x) = 3x2 – x + 4 and g(x) = 2x – 1. State the domain for each combined function.

12. Example 4: If f(x) = 2x, g(x) = x2 – 3x + 2, and h(x) = -3x – 4
then find each value.
f[g(3)]
g[h(-2)]
h[f(-4)]