Homework: Evaluating and Composite Functions

Given 

 $f\left(x\right)=x^2+8$   find  $\frac{f\left(x+h\right)-f\left(x\right)}{h}$  

•  $2x+h$  

•  $2x^2+8$  

•  $2x+8h$  

•  $2xh+h^2$  

 $Given\ f\left(x\right)=x^3$  then find  $\frac{f\left(x+h\right)-f\left(x\right)}{h}$  

•  $3x^2$  

•  $3x^2+3x+h^2$  

•  $3x^2+3xh+h^2$  

•  $3x^2+h^2$  

Given  $f\left(x\right)=2x+1\$ and  $g\left(x\right)=x^2-6x+4$         Find  $g\left(f\left(x\right)\right)$  

•  $4x^2-12x-1$  

•  $2x^2-8x+1$  

•  $2x^2-12x+9$  

•  $4x^2-8x-1$  

Given $f\left(x\right)=\sqrt{x+4}$  and  $g\left(x\right)=x^2-4$  

Find  $f\left(g\left(x\right)\right)$  

• x + 4

• x - 2

• x 

• 1

Factor:  $25x^2-16y^2$  

•  $5x-4y$  

•  $5x+4y$  

•  $\left(5x-4y\right)^2$  

•  $\left(5x-4y\right)\left(5x+4y\right)$  

Factor:  $64x^3-125$  

•  $\left(4x-5\right)\left(16x^2+20x+25\right)$  

•  $\left(4x+5\right)\left(16x^2+20x+25\right)$  

•  $\left(4x-5\right)\left(4x^2-20x+5\right)$  

•  $\left(4x-5\right)\left(16x^2-4x+25\right)$  

Factor:  $3x^2-13x-10$  

•  $\left(3x-5\right)\left(x+2\right)$  

•  $\left(3x+5\right)\left(x+2\right)$  

•  $\left(3x-2\right)\left(x+5\right)$  

•  $\left(3x+2\right)\left(x-5\right)$  

Write the equation of the line that goes through (3,8) and is perpendicular to the line 7x - 2y = 5. Put your answer in Standard Form.

• $y=\frac{7}{2}x-\frac{5}{2}$

• $y=\frac{5}{2}x-\frac{7}{2}$

• $2x+7y=62$

• $2x+7y=32$