Domain of Combined Functions

• 2t⁴ - 4t³
• 8t² - 10t - 12
• 8t² + 10t - 12
• -2t³ - 7t² + 4t

• t³ + 5t² + t - 5
• -t³ + 5t² - t - 5
• t² - 2t + 1
• 3t³ + 3t - 3 

• -4x⁴ - 10x³ - 8x - 20
• -4x³ - 4x² 0 8x - 8
• -x³ - 11x² - 30x
• x³ - 11x² + 30x

• 2n + 2
• -2n - 2
• -2n + 2
• 8n - 6

• -5n - 4
• 7n - 5
• 5n + 4
• 5n - 4 

h(x) = 3x + 3

g(x) = -4x + 1

Find (h + g)(10)

hint: add h(x) and g(x), then plug in 10

• -6

• 6

• 82

• -72

g(x) = 2x - 5

h(x) = 4x + 5

Find (g - h)(3)

hint: subtract g(x) and h(x), then plug in 3

• 18

• 16

• -16

• 28

(L3) Given f(x) = x² - 25 and g(x) = x - 5 , find the quotient (f/g)(0), if it exists.

• (f/g)(0) does not exist
• 10
• 5
• 0

(L3) Given f(x) = x² - 25 and g(x) = x - 5, find   (fg)(4).

• -9
• -13
• 0
• 9

(L2) Given f(x) = x² + 25 annd g(x) = - x, state the domain of (fg)(x)

• (-∞ , 0]
• [0 , ∞)
• (-∞ , ∞)
• (-∞ , 0) ∪ (0 , ∞)