Composition of Functions

f(x) = 3x + 10 g(x) = x - 2 Find f(g(-5))

• 19

• 23

• -11

• 31

Tags

CCSS.HSF-BF.A.1C

If f(x) = 3x + 5 and g(x) = x² - 4,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² - 7

Tags

CCSS.HSF-BF.A.1C

• 9 - √17

• 4

• 2

• √8

Tags

CCSS.HSF-BF.A.1C

• -1
• 1
• -1/3
• -5/3

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10 g(x) = x - 2 Find g(f(-10))

• -42

• -26

• -18

• -22

Tags

CCSS.HSF-BF.A.1C

f(x) = 5x - 9 g(x) = x - 2 Find f(g(x))

• 3x² - 2

• 5x - 19

• 3x + 4

• None of these.

Tags

CCSS.HSF-BF.A.1C

Question 2: If f(x) = 3x - 2 and g(x) = 4x + 1, find (g o f)(x).

• 2x + 3

• 7x + 2

• 12x - 5

• 5x - 7

Tags

CCSS.HSF-BF.A.1C

Determine the composite function f(h(k(1))) if f(x) = 2x -6 h(x) = 5x and k(x) = x^2 + 1.

• 4

• 22

• 24

• 14

Tags

CCSS.HSF-BF.A.1C

What is the notation for the composite function of f and g?

• (f * g)

• (f ∘ g)

• (f / g)

• (f + g)

Tags

CCSS.HSF-BF.A.1C

Express the composite function of h and k using function notation.

• h(x) + k(x)

• h(x) - k(x)

• (h ∘ k)(x) = h(k(x))

• h(x) * k(x)

Tags

CCSS.HSF-BF.A.1C