Inverse Relations

True or False: ALL functions have an inverse FUNCTION.

• True

• False

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

• Function

• Not a Function

• Inverse Function

• Inverse Relation

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

• Function

• Not a Function

• Inverse Function

• Inverse Relation

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

• Function

• Not a Function

• Inverse Function

• Inverse Relation

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

TWO ANSWERS:

Is this a function?

Does it have an inverse FUNCTION?

• Function

• Not a Function

• Inverse Function

• Inverse Relation

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

Write the inverse of this function:

 $f\left(x\right)=\sqrt{x-8}$  

•  $f^{-1}\left(x\right)=x^2+8$  

•  $f^{-1}\left(x\right)=x+8$  

•  $f^{-1}\left(x\right)=x^2-8$  

•  $f^{-1}\left(x\right)=x-8$  

Tags

CCSS.HSF.BF.B.4

Write the inverse of this function:

 $g\left(x\right)=\frac{2}{x}$  

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

•  $g^{-1}\left(x\right)=2x$  

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

•  $g^{-1}\left(x\right)=-2x$  

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.C.8

Write the inverse of the function:

 $h\left(x\right)=x^2-9$  

•  $h^{-1}\left(x\right)=\pm\sqrt{x+9}$  

•  $h^{-1}\left(x\right)=\sqrt{x+9}$  

•  $h^{-1}\left(x\right)=\pm\sqrt{x-9}$  

•  $h^{-1}\left(x\right)=-\sqrt{x+9}$  

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.BF.B.4

Write the inverse of the function:

 $f\left(x\right)=3x-7$  

•  $f^{-1}\left(x\right)=\frac{x+7}{3}$  

•  $f^{-1}\left(x\right)=\frac{x-7}{3}$  

•  $f^{-1}\left(x\right)=3x+7$  

•  $f^{-1}\left(x\right)=3x-7$  

Tags

CCSS.HSF.BF.B.4

Write the inverse of the function:

 $n\left(x\right)=\frac{2x-5}{5}$  

•  $n^{-1}\left(x\right)=\frac{5x+5}{2}$  

•  $n^{-1}\left(x\right)=5x+5$  

•  $n^{-1}\left(x\right)=\frac{5x-5}{2}$  

•  $n^{-1}\left(x\right)=\frac{2x-2}{5}$  

Tags

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.4