Understanding functions

Find the inverse 
f(x)=2x-2
     

• f^-1(x)=1/2x+1
• f^-1(x)=-2-1/2x
• f^-1(x)=-7/3x-20/3
• 2-2/5x

Tags

CCSS.HSF-BF.B.4A

Which equation is the inverse of the equation above?

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Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x)=2x+4

• $f^{-1}\left(x\right)=\ \frac{1}{2}x-\frac{1}{4}$

• $f^{-1}\left(x\right)=\frac{1}{2}x+\frac{1}{4}$

• $f^{-1}\left(x\right)=\frac{x-4}{2}$

• $f^{-1}\left(x\right)=\frac{x+4}{2}$

Tags

CCSS.HSF-BF.B.4A

Find the inverse function

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Tags

CCSS.HSF-BF.B.4A

F(x) = 11x - 1

Then use 4 step to find inverse F^-1(x)

• S1: let F(x), x = 11y + 1

  S2: Interchange x <=> y

  y = 11x

  S3: Solve for y

  y = 11/x - 1

  S4: F(x)^-1 = 11/x - 1

• S1: let y = 11x - 1

  S2: Interchange x <=> y

  x = 11y - 1

  S3: Solve for y

  y = 11x + 1

  S4: F(x)^-1 = 11x + 1

• S1: let y = 11x- 1

  S2: Interchange x <=> y

  x = 11y - 1

  S3: Solve for y

  (x + 1)/11 = y

  S4: F(x)^-1 = (x + 1)/11

• S1: let y = 11x - 1

  S2: Interchange x <=> y

  x = 11y + 1

  S3: Solve for y

  x/11 + 1 = y

  S4: F(x) = x/11 + 11

Tags

CCSS.HSF-BF.B.4A

Write the letter of the correct answer

Tags

CCSS.HSF-BF.B.4A

Find the inverse function:
f(x) = 5^x

• f ^-1(x) = log₅(x)
• f ^-1(x) = log_x(5)
• f ^-1(x) = 5^x
• f ^-1(x) = x⁵

Tags

CCSS.HSF-BF.B.4A

If the inverse of a function is  $f^{-1}\left(x\right)=\frac{x-5}{6}$  , then what was the original function?

•  $f\left(x\right)=6x+5$  

•  $f\left(x\right)=5x+6$  

•  $f\left(x\right)=6x-5$  

•  $f\left(x\right)=5x-6$  

Tags

CCSS.HSF-BF.B.4A

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the function? *HINT* remember opposite!

• f^-1(x) = x - 3

• f^-1(x) = x² - 3

• f^-1(x) = x² + 3

• f^-1(x) = x + 3

Tags

CCSS.HSF-BF.B.4A