Function Composition

Function Composition

How do you compose functions?

How do you compose functions?

How do you compose functions?

Fill in the Blanks

Let  $f\left(x\right)=2x-1$  and  $g\left(x\right)=3x$  . Identify the rule for  $f\left(g\left(2\right)\right)$  

Fill in the Blanks

Let  $f\left(x\right)=2x-1$  and  $g\left(x\right)=3x$  . Identify the rule for  $f\left(g\left(x\right)\right)$  

How do you compose functions?

How do you compose functions?

How do you compose functions?

Multiple Choice

Identify the rule for  $$\left(f\circ\ g\right)\left(x\right)$$  . 

$$f\left(x\right)=x^3$$  

$$g\left(x\right)=x+1$$  

• $$x^3+1$$  

• $$x^4+1$$  

• $$\left(x+1\right)^3$$  

• $$\left(x+1\right)^4$$  

Multiple Choice

Identify the rule for  $$\left(g\circ\ f\right)\left(x\right)$$  . 

$$f\left(x\right)=x^3$$  

$$g\left(x\right)=x+1$$  

• $$x^3+1$$  

• $$x^4+1$$  

• $$\left(x+1\right)^3$$  

• $$\left(x+1\right)^4$$  

Multiple Choice

Identify the rule for  $$\left(g\circ\ f\right)\left(x\right)$$  . 

$$f\left(x\right)=x^2+1$$  

$$g\left(x\right)=x-5$$  

• $$\left(x-5\right)^2+1$$  

• $$\left(x^2+1\right)-5$$  

Multiple Choice

Identify the rule for  $$\left(f\circ\ g\right)\left(x\right)$$  . 

$$f\left(x\right)=x^2+1$$  

$$g\left(x\right)=x-5$$  

• $$\left(x-5\right)^2+1$$  

• $$\left(x^2+1\right)-5$$  

HOmework on DeltaMath: COmposition of Functions