Composite Functions

Which one is the same as fοg(x)

• g(f(x))

• f(g(x))

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given f(x) = 3x + 10
and 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

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

• -42
• -26
• -18
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is f(g(3))?

• 1/8

• 8

• 1/4

• 1/2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14
• 20
• 6
• 7

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 9 - √17
• 4
• 2
• √8

Tags

CCSS.HSA.SSE.A.1

Find h(f(x))

• 4x²

• 2x²

• 4x⁴

• 2x³

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• x²+2x+3
• 4x²+3
• 2x²+3
• 2x²+6

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

• f(g(x))= -6x²+31
• f(g(x))= -6x²+24
• f(g(x))=18x²-84x+6
• f(g(x))=9x²-42x-1

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2