Composition of Functions

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

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

• 3x + 8
• 3x - 2
• 3x + 4
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

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

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

• -9
• 7
• -11
• None of these

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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.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