Compositions and Inverses

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

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

CCSS.HSA.SSE.B.3

• 3
• 1
• 4
• None of the Above

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x)=x²-4
h(x)=3x+3
f(h(x))

• 3x²-9
• 12x²+8x+5
• 16x²-36x+20
• 9x²+18x+5

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• 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

Given f(x) = x² - 3 and g(x) = x - 3, find f(g(f(3))).

• 0
• 3
• 6
• 9

Tags

CCSS.HSA.SSE.A.1

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSF-BF.A.1C

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

• 8
• -8
• 28
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2