Composition of 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

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) =  2(|x+ 3|)^⅔

• j(h(x))
• h(f(g(x)))
• h(j(x))
• h(f(j(x)))

Tags

CCSS.HSF-BF.A.1C

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

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

• 3
• 1
• 4
• None of the Above

Tags

CCSS.HSF-BF.A.1C

• 7
• 6
• 11
• 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