Composition of 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.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 3
• 1
• 4
• None of the Above

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

• 6
• 8
• 15
• None of the Above

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.4

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.IF.A.1

CCSS.HSF.IF.A.2

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.IF.A.1

CCSS.HSF.IF.A.2

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.IF.A.1

CCSS.HSF.IF.A.2

• 5
• 25
• √23
• 31

Tags

CCSS.HSA.SSE.A.1

• A.
• B.
• C.
• D.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• A.
• B.
• C.
• D.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

p(x) = 3x + 4
q(x) = 2x²
Find q(p(x))

• 6x² + 4
• 18x² + 48x + 32
• 18x² + 32
• None of these.

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2