Composite Functions Review

Which expression represents g(f(x)) if 
f(x) = 2x - 8 and
g(x) = 4x

• 8x - 32
• 8x² - 32x
• 8x - 8
• 6x - 8

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

• g(f(x))= -3x²-6
• g(f(x))= -3x²+2
• g(f(x))=9x²+2
• g(f(x))= -9x²+2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

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

• 9 - √17
• 4
• 2
• √8

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.SSE.A.1

CCSS.HSN.RN.A.2

• x²+6
• x²+12x+36
• x²+2x+6
• 2x+12

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• g(f(x))= -6x² + 31
• g(f(x))= -6x² + 24
• g(f(x))=18x² - 84x + 90
• g(f(x))=9x² - 42x - 41

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find f(h(5)) based on the graphs of f(x) and g(x)

• -6
• -3
• 6
• 2

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given j(x) = ∛(x-1)
and h(x) = x³+1,
find j(h(x)).

• x³+3x²-9x-3
• x
• x³-3x²+3x-1
• j(x) * h(x)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSN.RN.A.2

The composition of any function, f(x), and
its inverse, f^-1(x) = 

• x
• f(x)
• 1
• 0

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.2

You can find a function's inverse algebraically by

• Replacing each x with y, and each y with x
• Evaluating f(x) for x = 0
• Setting f(x) = 0 and
  then solving for x
• Replacing each x with its best friend

Tags

CCSS.HSF.BF.B.4