Introduction to Composition of Functions (Asynchronous)

Introduction to Composition of Functions

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The functions

 $q$  and  $r$   are defined as follows.

 $q\left(x\right)=-2x-2$  
 $r\left(x\right)=x^2+2$  
Find  $q\left(r\left(4\right)\right)$  

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The functions

 $s$  and  $t$   are defined as follows.

 $s\left(x\right)=-2x$  
 $t\left(x\right)=-x^2$  
Find  $s\left(t\left(-1\right)\right)$  

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The functions

 $r$  and  $s$   are defined as follows.

 $r\left(x\right)=2x+5$  
 $s\left(x\right)=-3x+1$  
Find  $r\left(s\left(3\right)\right)$  

Fill in the Blank

The functions

 $r$  and  $s$   are defined as follows.

 $r\left(x\right)=2x+2$  
 $s\left(x\right)=-x^2$  
Find  $r\left(s\left(-5\right)\right)$  

Fill in the Blank

The functions

 $s$  and  $t$   are defined as follows.

 $s\left(x\right)=-2x+1$  
 $t\left(x\right)=x^2+1$  
Find  $s\left(t\left(-5\right)\right)$  

Fill in the Blank

The functions

 $q$  and  $r$   are defined as follows.

 $q\left(x\right)=-x-2$  
 $r\left(x\right)=x^2+2$  
Find  $r\left(q\left(-1\right)\right)$  

Fill in the Blank

The functions

 $q$  and  $r$   are defined as follows.

 $q\left(x\right)=2x-2$  
 $r\left(x\right)=-2x^2+1$  
Find  $q\left(r\left(-5\right)\right)$