Composition and Inverses

What is the inverse of the points (1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)

• (-3,-1)(-4,-2)(-8,-6)

• (1,3)(2,4)(6,8)

• (-1,-3)(-2,-4)(-6,-8)

Tags

CCSS.HSF.BF.B.4

 $f\left(x\right)=\ \ ^3\sqrt{x+2}$  Find the inverse

•  $x^3-2$ 
  

•  $\ ^3\sqrt{x}+1$  

•  $x^3+2$ 
  

•  $\left(x-2\right)^3$  

Find the inverse
 $f\left(x\right)=\ -2x^3+2$  

•  $\frac{\ ^3\sqrt{-x-2}}{2}$  

•  $\ ^3\sqrt{x-2}+1$  

•  $\ \frac{\ ^3\sqrt{x+2}}{2}$  

•  $\ ^3\sqrt{\frac{x-2}{-2}}$  

Find the inverse

f(x)=2x-2

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

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

• $f^{-1}\left(x\right)=\frac{7}{3}x-\frac{20}{3}$

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

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19

• 23

• -10

• None of these.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

• 3x² - 2

• 3x + 8

• 3x + 4

• None of these.

Given
 f(x) = 2x² + 5x - 17,
find f(-1). 

• f(-1) = -20

• f(-1) = -24

• f(-1)= 20

• f(-1)= -10

f(x) = {(3, 7), (4, -2), (5, -1), (8, 7)}
Is f^-1(x) a function?

• Yes

• No

• No way to tell

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

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

Tags

CCSS.HSF.BF.B.4

Find the inverse of  $f\left(x\right)=3x+8$  

•  $f^{-1}\left(x\right)=3\left(x-8\right)$  

•  $f^{-1}\left(x\right)=\frac{8x-1}{3}$  

•  $f^{-1}\left(x\right)=\frac{x-8}{3}$  

•  $f^{-1}\left(x\right)=\frac{x}{3}-8$