Composite and Inverse Functions

f(n)=2n+1
g(n)=3n
Find f(n)+g(n)

• 5n+1
• -5n+1
• -2n+1
• -6n-1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

f(n) = x² + 1

g(n) = 2x - 5

Find f(n) - g(n)

• x² - 2x + 6

• -x² + 2x + 4

• -x² - 2x - 6

• x² - 2x - 4

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

• 9 - √17
• 4
• 2
• √8

Tags

CCSS.HSA.REI.A.2

CCSS.HSA.SSE.A.1

CCSS.HSN.RN.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

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

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSA.APR.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.HSF.IF.A.1

CCSS.HSF.IF.A.2

Find the inverse of  $f\left(x\right)\ =\ x^2\ -\ 5$  

•  $f^{-1}\left(x\right)\ =\ \sqrt{x}\ +\ 5$  
  

•  $f^{-1}\left(x\right)\ =\ \sqrt{x\ -\ 5}$  
  

•  $f^{-1}\left(x\right)\ =\ \sqrt{x\ +\ 5}$  
  

•  $f^{-1}\left(x\right)\ =\ \sqrt{x}\ -\ 5$  
  

Tags

CCSS.HSF.BF.B.4

If  $f\left(3\right)\ =\ 12,\$  what is the value of  $f^{-1}\left(12\right)$  ?

• 48

• Not enough information

• 3

• 0

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.2

A function and its inverse are reflected about which line?

• The y-axis

• The x-axis

• y = x

• y = -x

Answer explanation

The black line represents y = x. Notice the way the function (in this case, x^2 - 6) and its inverse are reflected.

Tags

CCSS.HSF.BF.B.4