Function Composition: Inner and Outer Functions

Find the outer function:
 $h\left(x\right)\ =\left(\sin^{ }x\right)^2$  

•  $\ x^2$  

•  $\sin x$  

Tags

CCSS.HSF-BF.A.1C

Find the inner function:
 $h\left(x\right)\ =\ \log_3\left(\sqrt{x}\right)$  

•  $\log_3\left(x\right)$  

•  $\sqrt{x}$  

Tags

CCSS.HSF-BF.B.4A

Find the outer function
 $h\left(x\right)\ =\ \ln\left(\log_5x\right)$  

•  $\ln\ x$  

•  $\log_5x$  

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF-BF.B.4B

Find the inner function:
 $\csc\left(e^x\right)$  

•  $e^x$  

•  $\csc x$  

Find the innermost function:
 $\ln\left(\cos\left(e^{x^2}\right)\right)$  

•  $\ln\ x$  

•  $\cos\ x$  

•  $e^{x^2}$  

•  $x^2$  

• 34

• 71

• 35

• 142

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF-BF.A.1C