Composition of Two Functions

Determine which two functions are composed so that f(g(x)) = h(x), where h(x) = (x-3)² - 5.

• f(x) = x - 3; g(x) = x² - 5

• f(x) = (x - 3)²; g(x) = x - 5

• f(x) = x - 7; g(x) = (x - 3)²+2

• f(x) = x²; g(x) = (x - 3) - 5

Tags

CCSS.HSF-BF.A.1C

• 3
• 1
• 4
• None of the Above

Tags

CCSS.HSF-BF.A.1C

• 6
• 8
• 15
• None of the Above

Tags

CCSS.HSF-BF.A.1C

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of f(g(4)).

• 182

• 40

• 61

• None of the Above

Tags

CCSS.HSF-BF.A.1C

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(½)).

• 35/4

• 13/4

• 17/2

• None of the Above

Tags

CCSS.HSF-BF.A.1C

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14

• 20

• 6

• 7

Tags

CCSS.HSF-BF.A.1C

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²

• 18x² + 4

• 6x² + 4

Tags

CCSS.HSF-BF.A.1C

• 5
• 25
• √23
• 31

Tags

CCSS.HSF-BF.A.1C

p(x) = 3x + 4
q(x) = 2x²
Find p(p(-3))

• -9

• 7

• -11

• None of these

Tags

CCSS.HSF-BF.A.1C

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Tags

CCSS.HSF-BF.A.1C