Composition of Two Functions

If f(x) = ∛(x), g(x) = 2x - 5, h(x) = 2x² and j(x) = |x + 3|, which ones were composed and in what order to create the following function?
C(x) =  |∛(2x - 5) + 3|

• g(f(x))

• j(g(f(x)))

• j(f(g(x)))

• g(j(f(x)))

Tags

CCSS.HSF-BF.A.1C

Determine the two functions, f(x) and g(x) such that f(g(x))  does not create h(x) where h(x) = (x+2)/(x+5).

• f(x) = x; g(x) = (x+2)/(x+5)

• f(x) = 1/x; g(x) = (x+5)/(x+2)

• f(x) = x + 2/x; g(x) = x + 5

• f(x) = x/(x+3); g(x) = x + 2

Tags

CCSS.HSF-BF.A.1C

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CCSS.HSF-BF.A.1C

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Tags

CCSS.HSF-BF.A.1C

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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

• 9 - √17
• 4
• 2
• √8

Tags

CCSS.HSF-BF.A.1C

Perform the indicated operation.

• A

• B

• C

• D

Tags

CCSS.HSF-BF.A.1C

• -1
• 1
• -1/3
• -5/3

Tags

CCSS.HSF-BF.A.1C

• 1

• 1.5

• 6.5

• 3

Tags

CCSS.HSF-BF.A.1C