Operations with Functions and Compositions of Functions

Operations with Functions and Compositions of Functions

We will do this one together.

Multiple Choice

Given and $f\left(x\right)=\ x^2-8x+4,\ \ g\left(x\right)=4x-3,\ h\left(x\right)=x+2,$   find each function. 

•  $-x^2-4x+1$  

•  $x^2-4x+1$  

•  $4x^2-4x+1$  

We will do this one together.

Multiple Choice

 $f\left(x\right)=x^2-8x+4,\ g\left(x\right)=4x-3,\ h\left(x\right)=x+2$  find each function. 

•  $4x^2+5x-6$  
  

•  $4x^2-11x-6$   

•  $5x-1$  

We will do this one together.

Multiple Choice

Given  $f(x)=x^2−8x+4,\ g(x)=4x−3,\ h(x)=x+2$  find each function. 

•  $\frac{4x-3}{x+2}$  
  

•  $\frac{x+2}{x^2-8x+4}$  

• $\frac{x+2}{4x-3}$

We will do this one together.

We will do this one together.

Multiple Choice

Given 
 $f\left(x\right)=\ 2x^2-x-12$  and  $\ g\left(x\right)=4x-3$  find each function value. 

• 108

• 113

• 93

Multiple Choice

Given $f\left(x\right)=\ 2x^2-x-12\$  and  $g\left(x\right)=x+7$  find each function value. 

•  $\frac{33}{12}$  

•  $\frac{12}{33}$  

•  $33\left(12\right)$  

We will do this one together.

We will do this one together.

Multiple Choice

Given $f\left(x\right)=x^3+8,\ g\left(x\right)=x-1,$  and  $h\left(x\right)=5x-3$  find each function.   

•  $x^3-3x^2+3x+7$  

•  $x^3+7$  

•  $-x^3-8$  

We will do this one together.

Multiple Choice

Given
 $f\left(x\right)=x^3+8,\ g\left(x\right)=x-1,\$  and  $h\left(x\right)=5x-3$  find each function. 

• -1025

• -208

• -1043