Composition of functions

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 8

• 1

• 29

• 22

Answer explanation

g(8)= (8)-7=1
f(1)= 3(1)+5
= 3+5
= 8

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Let

f(x) = 3x + 10

g(x) = x - 2

Evaluate f(g(0))

• 16

• 4

• -4

• None of these.

Answer explanation

g(0)= (0) -2= -2

f(-2)= 3(-2) + 10

= -6+10

= 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 15

• 5

• 10

• None of the Above

Answer explanation

Remember to start with the inside function first!

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 9

• -6

• 6

• -2

Given f and g in the graph,

what is f(g(2)) ?

• 3

• 8

• 1

• 4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2