1.6.21 BW

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

Find (f∘g)(x)

Please take the time to work this out on your paper...

• 3x - 6

• 3x + 8

• 3x + 4

• 3x² +10

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

Find (g∘f)(2)

Please take the time to work this out on your paper...

• 14

• 16

• 10

• 19

Does the graph represent a function?

• Yes, it passes the vertical line test

• No, it fails the vertical line test

Does the graph represent a 1-1 function?

• Yes, it passes the horizontal line test

• No, it fails the horizontal line test

 $\frac{x-3}{x+4}$  What is the domain restriction?

•  $x\ne4$  

•  $x\ne-3$  

•  $x\ne3$  

•  $x\ne-4$  

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

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.4A

Find the inverse of  $f\left(x\right)=3x^2+4$  

•  $f^{-1}\left(x\right)=\pm\sqrt{\frac{x-4}{3}}$  

•  $f^{-1}\left(x\right)=\pm\sqrt{\frac{x+4}{3}}$  

•  $f^{-1}\left(x\right)=3x^2-4$  

•  $f^{-1}\left(x\right)=4-3x^2$  

Find the inverse of  $f\left(x\right)=\left(x-9\right)^{\frac{1}{3}}$  

•  $f^{-1}\left(x\right)=x^3+9$  

•  $f^{-1}\left(x\right)=3x+9$  

•  $f^{-1}\left(x\right)=x^3-9$  

•  $f^{-1}\left(x\right)=3x-9$  

How do you verify with algebra that two functions, f(x) and g(x), are inverses of each other?

• Verify that (f∘g)(x) = x

• Verify that (g∘f)(x) = x

• Verify that both (f∘g)(x) and (g∘f)(x) = x

• Verify that (f∘g)(x) = (g∘f)(x)