Combining Functions f of g of x

• It represents the composition of the functions f and g, evaluated at x

• It represents the multiplication of the functions f and g, evaluated at x

• It represents the division of the functions f and g, evaluated at x

• It represents the subtraction of the functions f and g, evaluated at x

Tags

CCSS.HSF-BF.A.1C

Given f(x)= x² + 25 and g(x)= x - 5, find     (f+g)(x).

• x² + x - 20

• x² + x + 20

• -x² + x - 20

• x² - x - 20

Tags

CCSS.HSF-BF.A.1B

Given f(x) = x² + 25 and g(x) = -x
find (fg)(x).

• x² - 25x

• -x³ + 25x

• x³ + 25x

• -x³ - 25x

Tags

CCSS.HSF-BF.A.1C

Given f(x)=x + 2 and g(x) = x - 5,             find (fg)(x)

• x² + 7x -10

• x² - 3x +10

• x² - 3x -10

• x² - 7x -10

Tags

CCSS.HSF-BF.A.1B

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

• (-∞ , 0]

• [0 , ∞)

• (-∞ , ∞)

• (-∞ , 0) ∪ (0 , ∞)

Tags

CCSS.HSF-BF.A.1B

Given the graphs of H and K, describe the domain of H + K.

• All real numbers

• [-4 , -3) ∪ (-3, 3) ∪ (3, 3.5]

• [-3, 3]

• [-4, 2.5]

Tags

CCSS.HSF-BF.A.1B

Given the graphs of F and G, describe the domain of G/F.

• All real numbers

• [-3 , -3) ∪ (-3 , 2) ∪ (2, 3]

• [-3 , 0) ∪ (0 , 3]

• [-4 , -3) ∪ (-3 , 0) ∪ (0, 2) ∪ (2, 2.5]

Tags

CCSS.HSF-BF.A.1B

f(g(x))

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

Tags

CCSS.HSF-BF.A.1C

If f(x) = x-5 and g(x) = 3x²-1,

what is (f ° g)(x) ?

• 3x²-5

• 3x²-1

• 3x²-4

• 3x²-6

Tags

CCSS.HSF-BF.A.1C

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Tags

CCSS.HSF-BF.A.1C