Function Composition

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(a) = a² + a - 3

g(a) = 3a

Find f(g(a))

• 9a² - 3a + 3

• 9a² + 3a - 3

• 3a² - 3a + 3

• 3a² + 3a - 3

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x)=x²-4

h(x)=3x+3

Find f(h(x))

• 3x²-9

• 12x²+8x+5

• 16x²-36x+20

• 9x²+18x+5

Let ... 
 $q(x)=2x^2$  
 $p(x)=3x+4$  $Find\ p(q(x))$  

•  $10x^2$  

•  $18x^2+4$  

•  $6x^2+4$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

h(n) = n² - 1

g(n) = 2n - 1

Find h(g(n))

• 4n² - 4n - 2

• 4n² - 4n + 2

• 4n² + 2

• 4n² - 4n

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

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

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

• 3

• -3

• 21

• -21

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• 8
• -8
• 28
• None of these.

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.IF.A.1

CCSS.HSF.IF.A.2