Function Composition & Inverse

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

• -9
• 7
• -11
• None of these

Tags

CCSS.HSF-BF.A.1C

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

Tags

CCSS.HSA.APR.A.1

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.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.SSE.B.3

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

• $16x+10$

• $-2x+6$

• $-16x-20$

• $-16x+6$

• $12x-14$

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find the inverse of the function

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.4

When f(x) = 9 - 3x and g(x) = 5x - 7

find f(x) + g(x).

• 14x - 10

• -8x + 2

• 2x + 2

• 2x - 2

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Are these functions inverses of each other?

• Yes

• No

Tags

CCSS.HSF.BF.B.4