Operations and Composition of Functions

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Tags

CCSS.HSF-BF.A.1C

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

• 10x-1

• 10x-5

• 5x²-1

• 5x²-5

Tags

CCSS.HSF-BF.A.1C

If f(x) = x-1 and g(x) = 2x,

what is and g(f(x)) ?

• 2x²-1

• 2x-1

• 2x-2

• x-2

Tags

CCSS.HSF-BF.A.1C

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

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF-BF.A.1C

Find g(- 2).

• 12

• -2

• -24

• 18

Tags

CCSS.HSF.IF.A.2

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

• 10x²
• 18x² + 4
• 6x² + 4

Tags

CCSS.HSF-BF.A.1C

Evaluate f(x)=-2x+13   for f(10)

• -7
• 1
• -8
• 7

Tags

CCSS.HSF.IF.A.2

Given 
f(x)= 2x² + 5x - 17, find f(-1). 

• f(-1) = -20
• f(-1) = -24

Tags

CCSS.HSF.IF.A.2

For f(x) = 2x²-1, what is and (f ° f)(-2) ?

• 7

• 97

• 13

• 6

Tags

CCSS.HSF-BF.A.1C

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