Wednesday 12/23

Wednesday 12/23 November/December Overview

Precalculus - Mr. Campbell

Do Now

What is the domain of the function? In other words, what x-values are included.

Example

Find the composition of the functions given.

Multiple Choice

 $Find\ f\left(g\left(t\right)\right)$  for  $f\left(t\right)=4t-2\ and\ g\left(t\right)=-2t-2$  

•  $2t-4$  

•  $8t+2$  

•  $-8t-10$  

•  $-8t+2$  

Multiple Choice

 $Find\ g\left(h\left(x\right)\right)\ for\ g\left(x\right)=2x-3\ and\ h\left(x\right)=3x+1$ 

•  $6x-1$  

•  $5x-2$  

•  $6x-8$  

•  $-6x-1$  

Multiple Choice

 $s\left(x\right)=x\left(4-0.05x\right);\ \ e\left(x\right)=20+2x.$  Use the sales and expenses functions to find the revenue function.  Remember that 

revenue=sales-expenses.

•  $s\left(x\right)=-0.05x^2+2x+20$  

•  $s\left(x\right)=0.05x^2-6x+20$  

•  $s\left(x\right)=-0.05x^2+2x-20$  

•  $s\left(x\right)=0.05x^2+6x-20$  

Example

 $Given\ g\left(n\right)=n-3\ and\ f\left(n\right)=2n^2-2n-3,\ find\ \ \left(g\cdot f\right)\left(n\right).$  

Multiple Choice

 $Given\ f\left(x\right)=x+2\ and\ g\left(x\right)=x^2-2x+3,\ find\ \left(f\cdot g\right)\left(x\right).$  

•  $9x^3+3x^2-8x+2$  

•  $x^3-x+6$  

•  $6x^3-x^2-5x+2$  

•  $x^3+4x^2+2x-1$