Inverse Part 1

Inverse Part 1

Multiple Choice

We Do: What is the inverse of the points (1,3)(2,4)(6,2)

• (2,6)(3,1)(4,2)

• (-3,-1)(-4,-2)(-2,-6)

• (1,3)(2,4)(6,2)

• (-1,-3)(-2,-4)(-6,-2)

Multiple Choice

You Do: What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)

• (1, 2) (8, 3) (-3, 6)

• (-1, -2) (-3, -8) (3, -6)

• (2, 1) (8, 3) (6, -3)

Multiple Choice

To find the inverse

• Interchange the X and Y Values

• Rotate the X and Y Values

• Square the X and Y Values

• transpose the X and Y values

Multiple Choice

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Multiple Choice

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)

Multiple Choice

We Do: $f\left(x\right)=7x$  
Find  $f^{-1}\left(x\right)$  

•  $\frac{x}{7}$  

•  $\frac{7}{x}$  

•  $0.7x$  

•  $x\div\frac{1}{7}$  

Multiple Choice

You Do: $g\left(x\right)=\frac{x}{8}$  
Find  $g^{-1}\left(x\right)$  

•  $\frac{8}{x}$  

•  $8x$  

•  $\frac{1}{8}x$  

•  $x\div8$  

Multiple Choice

When finding the inverse of a relation,

1st you replace f(x) with y

2nd switch the x's and y's

What do you do next?

• solve for y

• replace y with f^-1(x)

• solve for x

• find the greatest common factor

Multiple Choice

We Do: Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3

• f^-1(x) = -1/4x - 3

• f^-1(x) = 1/4x + 3

• f^-1(x) = - 4x - 3

Multiple Choice

We Do: FInd the inverse of the function.
 $f\left(x\right)=\frac{3x-15}{2}$  

•  $f^{-1}\left(x\right)=-x-5$  

•  $f^{-1}\left(x\right)=3x+5$  

•  $f^{-1}\left(x\right)=\frac{15+2x}{3}$  

•  $f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3}$  

Multiple Choice

You Do: 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

Multiple Choice

You Do: $h\left(x\right)=-\frac{2}{x-1}-3$  
Find the inverse of the function.

•  $h^{-1}\left(x\right)=\frac{2}{-x-3}+1$  

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

•  $h^{-1}\left(x\right)=\frac{2}{-x+3}$  

•  $h^{-1}\left(x\right)=\frac{3}{-x-3}-2$  

Multiple Choice

If f^-1(-25) = 7 then what is f(7) =

• 25

• 7

• No enough information.

• -25

Multiple Choice

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)). Are the two functions inverses of each other?

• x + 20 ; Yes they are inverses

• x + 20 ; No, they are not inverses

• x ; Yes they are inverses

• x ; No, they are not inverses

Multiple Choice

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.