Function Notation

If $f\left(x\right)=3x^2-x$  , find  $f\left(-2\right)$  

• 14

• 10

• 38

• -10

If $h\left(x\right)=5-9x$  
Find  $h\left(8\right)$  

• -67

• 67

• 77

• -77

 $f\left(x\right)=-4x-10$  
Find x if  $f\left(x\right)=10$  

• x = -5

• x = 5

• x = -50

• x = 30

If $f\left(x\right)=-4x-5$ and  $g\left(x\right)=3-x$  

what is  $g\left(-4\right)+f\left(1\right)$ ? 

• 7

• -2

• -9

• -10

 $h\left(x\right)=-5x+7$  
Find  $6h\left(2\right)$  

• -2

• 3

• -18

• -3

What is f(1)?

• 1

• 5

• 0

• 4

Find the inverse of $f\left(x\right)=-4x-12$  

•  $f^{-1}\left(x\right)=4x-3$  

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

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

•  $f^{-1}\left(x\right)=-4x-3$   

Find the inverse of the function $f(x)=3x-5$  

•  $f^{-1}(x)=3x+5$ 

•  $f^{-1}(x)=\frac{x+5}{3}$  

•  $f^{-1}(x)=3y-5$  

•  $f^{-1}(x)=3y+5$  

When finding the inverse of a function,

1st, you replace f(x) with y

2nd, switch x and y

What do you do next?

• solve for y

• replace y with $f^{-1}\left(x\right)$

• solve for x

• find the greatest common factor

Find the inverse of
 $f(x)=x^2-5$  

•  $f^{-1}\left(x\right)=x^2+5$  

•  $f^{-1}(x)=\sqrt{x-5}$  

•  $f^{-1}(x)=\sqrt{x+5}$  

•  $f^{-1}(x)=x^2-5$