(7-2) Function Composition

 $f\left(g\left(x\right)\right)$  

What is the "inside" function?

•  $f\left(x\right)$  

•  $g\left(x\right)$  

Tags

CCSS.HSF-BF.A.1C

 $t\left(k\left(x\right)\right)$  

What is the "outside" function?

•  $t\left(x\right)$  

•  $k\left(x\right)$  

Tags

CCSS.HSF-BF.A.1C

What is the correct way to write $\left(p\ \circ\ q\right)\left(x\right)$  in function notation?

•  $q\left(p\left(x\right)\right)$  

•  $p\left(q\left(x\right)\right)$  

•  $p\left(x\right)q\left(x\right)$  

•  $x\left(q\left(p\right)\right)$  

Tags

CCSS.HSF-BF.A.1C

Given  $f\left(x\right)\ =\ 3x\ \&\ g\left(x\right)=x^2$  , what is  $f\left(5\right)$  ?

(a)  

Tags

CCSS.HSF.IF.A.2

Given  $f\left(x\right)\ =\ 3x\ \&\ g\left(x\right)=x^2$  , what is  $g\left(5\right)$  ?

(a)  

Tags

CCSS.HSF.IF.A.2

Given  $c\left(x\right)\ =\ 3x\ \&\ d\left(x\right)=x^2$  , what is  $c\left(d\left(5\right)\right)$  ?

(a)  

Tags

CCSS.HSF-BF.A.1C

Given  $h\left(x\right)\ =\ 3x\ \&\ k\left(x\right)=x^2$  , what is  $k\left(h\left(5\right)\right)$  ?

(a)  

Tags

CCSS.HSF-BF.A.1C

If $f\left(g\left(x\right)\right)=-\left(x^2\right)$  , what do we know about each individual function?

•  $f\left(x\right)=x^2$  

•  $g\left(x\right)=x^2$  

•  $f\left(x\right)=-x$  

•  $g\left(x\right)=-x$  

Tags

CCSS.HSF-BF.A.1C

If  $h\left(k\left(x\right)\right)=\left|\left(10x\right)\right|$  what do we know about each individual function?

•  $h\left(x\right)=\left|x\right|$  

•  $h\left(x\right)=10x$  

•  $k\left(x\right)=\left|x\right|$  

•  $k\left(x\right)=10x$  

Tags

CCSS.HSF-BF.A.1B

Given that $f\left(x\right)\ =\ 3x\ \&\ m\left(x\right)=-3x$  , what is true?

•  $f\left(m\left(x\right)\right)=-33x$  

•  $f\left(m\left(x\right)\right)=-33x^2$  

•  $f\left(m\left(x\right)\right)=-9x$  

•  $f\left(m\left(x\right)\right)=-9x^2$  

•  $f\left(m\left(x\right)\right)=0$  

Tags

CCSS.HSF-BF.A.1C