NTI10 7.2 Function Composition

Select all the following choices that mean:   $\left(f\ \ \ o\ \ \ g\right)\left(x\right)$  

• "g of f of x"

• "g composed with f"

• "f of g of x"
  

• f(g(x))

• g(f(x))

Tags

CCSS.HSF-BF.A.1C

Select all the following choices that mean:   $\left(g\ \ \ o\ \ \ f\right)\left(x\right)$  

• "g of f of x"

• "g composed with f"

• "f of g of x"
  

• f(g(x))

• g(f(x))

Tags

CCSS.HSF-BF.A.1C

How would we correctly read  $\left(f\ \ \ o\ \ \ g\right)\left(6\right)$  ?

• "g of f of 6"

• "f of g of 6"

• "6 of  f of g"
  

• "6 of  g of f"

Tags

CCSS.HSF-BF.A.1C

All four statements below mean exactly the same thing. Which of the following is the easiest for you to understand?

•  $\left(f\ \ o\ \ g\right)\left(-3\right)$  

•  $f\left(g\left(-3\right)\right)$  

• "f of g of -3"

• substitute -3 into x in function g, then substitute that value into x in function f

• They're all easy for me to understand.

Tags

CCSS.HSF-BF.A.1C

Given  $f\left(x\right)=2x-3\$  and  $\ g\left(x\right)=x^2$  determine  $\left(f\ \ o\ \ g\right)\left(x\right)$  

•  $\left(2x-3\right)^2$  

•  $4x^2-9$  

•  $4x^2-12x+9$  

•  $2x^2-3$  

Tags

CCSS.HSF-BF.A.1C

Given  $f\left(x\right)=2x-3\$  and  $\ \ g\left(x\right)=x^2$  determine  $\left(g\ \ o\ \ f\right)\left(x\right)$  

•  $\left(2x+3\right)^2$  

•  $4x^2-9$  

•  $4x^2-12x+9$  

•  $2x^2-3$  

Tags

CCSS.HSF-BF.A.1C

Given  $f\left(x\right)=\left|2x\right|\ \ \$  and  $\ \ \ g\left(x\right)=x^2$  determine  $\left(g\ \ o\ \ f\right)\left(x\right)$  

•  $\left|2x\right|^2$  

•  $\left|4x\right|$  

•  $\left|2x^2\right|$  

•  $\left|x^2\right|$  

Tags

CCSS.HSF-BF.A.1C

Given  $f\left(x\right)=\left|2x\right|\ \ \ \ \$  and  $\ g\left(x\right)=x^2$  determine  $\left(f\ \ o\ \ g\right)\left(x\right)$  

•  $\left|2x\right|^2$  

•  $\left|4x\right|$  

•  $\left|2x^2\right|$  

•  $\left|x^2\right|$  

Tags

CCSS.HSF-BF.A.1C

Given  $f\left(x\right)=2x-3\ \ \ and\ \ \ \ g\left(x\right)=x^2$  determine  $\left(g\ \ o\ \ f\right)\left(2\right)$  

• -13

• 1

• 13 

• -1

Tags

CCSS.HSF-BF.A.1C

Given  $f\left(x\right)=2x-3\ \ \ and\ \ \ \ g\left(x\right)=x^2$  determine  $\left(f\ \ o\ \ g\right)\left(5\right)$  

• 49

• 22

• 17

• 47

Tags

CCSS.HSF-BF.A.1C