Function Composition

Function Composition

How do you compose functions?

How do you compose functions?

How do you compose functions?

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