Warmup. Perform the indicated operation.
1. (x3 - 2x2 + 3x + 1) + (x4 - 7x)
3. (x3 + 2x2 + 1)(x2 + 5)
2. (2x4 + 2x2 + 3x + 1) - (x4 - 7x + 3)
4. Simplify:
5.5 PERFORMING FUNCTION OPERATIONS
Let
and
Find (f + g)(x) and state the domain.
Then evaluate the sum when x = 4.
Let f (x) = 3x3 − 2x2 + 5 and g(x) = x3 − 3x2 + 4x − 2. Find ( f − g)(x) and
state the domain. Then evaluate the difference when x = −2.
Let
and
Find
and state the domain. Then
Find
and state the domain. Then
evaluate the product when
Let
and
evaluate the quotient when
1. Let
and
Find and state the domain of each.
2. Let
Then evaluate
and
Find and state the domain of each.
Then evaluate
3. Let
and
Use a graphing calculator to
evaluate when x = 2. Round your answers to two decimal places.
(f + g)(2) =
(f - g)(2) =
(fg)(2) =
(f/g)(2) =
Could you evaluate (f/g)(3)?
(g/f)(3)?
(g/f)(4)?