Inverse Lesson

Find the inverse of each relation.
 $\left\{\left(2,6\right),\left(4,5\right),\left(-3,-1\right)\right\}$  

•  $\left\{\left(6,2\right),\left(5,4\right),\left(-1,-3\right)\right\}$  

•  $\left\{\left(-2,-6\right),\left(-4,-5\right),\left(3,1\right)\right\}$  

•  $\left\{\left(-3,2\right),\left(5,-1\right),\left(6,4\right)\right\}$  

•  $\left\{\left(-2,-6\right),\left(-4,-5\right),\left(3,1\right)\right\}$  

Find the inverse of the relation.
 $\left\{\left(3,8\right),\left(4,-2\right),\left(5,-3\right)\right\}$  

•  $\left\{\left(8,3\right),\left(-2,4\right),\left(-3,5\right)\right\}$  

•  $\left\{\left(-8,-3\right),\left(2,-4\right),\left(3,-5\right)\right\}$  

•  $\left\{\left(3,-2\right),\left(4,8\right),\left(5,-3\right)\right\}$  

•  $\left\{\left(-8,-3\right),\left(-4,2\right),\left(3,-5\right)\right\}$  

Tags

CCSS.HSF.BF.B.4

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

•  $f^{-1}\left(x\right)=x+5$  

•  $f^{-1}\left(x\right)=-x+5$  

•  $f^{-1}\left(x\right)=x-5$  

•  $f^{-1}\left(x\right)=-x-5$  

Tags

CCSS.HSF.BF.B.4

Find the inverse of  $y=\frac{1}{3}x$  

•  $y\ '=3x$  

•  $y\ '=-3x$  

•  $y\ '=\frac{x}{3}$  

•  $y\ '\ =\frac{x}{-3}$  

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSG.CO.A.5

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.HSF.BF.B.4

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.1

CCSS.HSF.IF.A.2

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Tags

CCSS.HSF.BF.B.4

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF.BF.B.4

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A