Composition of Functions

(f + g) (x)

• 5x² + 3x

• 4x² + 3x

• 5x² - 3x

• 4x² - 40x

Tags

CCSS.HSF-BF.A.1B

(f - g)(x)

• 5x² + 3x

• -3x² - 13x

• 3x² + 3x

• -3x² + 3x

Tags

CCSS.HSF-BF.A.1B

When f(x) = 4x+8 and
g(x) = x+3, find
(f⋅g)(x)

• 4x²+24
• 4x²+20x+24
• 4x²+12x+24
• 4x²+4x+24

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4
h(x)=3x-1
Find g(h(x))

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

Tags

CCSS.HSF-BF.A.1C

p(x) = 4x - 5
q(x) = 2x²
Find p(q(x))

• 8x² + 5
• 8x² - 10x
• 8x² - 5
• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x) = 2x - 5

g(x) = -4x - 2

Find f(g(-2))

• 25

• -25

• -7

• 7

Tags

CCSS.HSF-BF.A.1C

h(x) = -4x + 3

g(x) = 4x - 2

Find h(g(6))

• -107

• 107

• -85

• 85

Tags

CCSS.HSF-BF.A.1C

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C