Construct and simplify the difference quotient

Question

Questions:

Show all work in a Word document ƒorƒull credit.

1. Given that

Findƒ(-1),ƒ(0),ƒ(2),ƒ(3).

In problems 2 through 4, determine whether theƒunction is even, odd, or neither. Explain the process used to make that determination.

2.ƒ(x)=-3x³+2x

3.ƒ(x)=7x³+4x-2

4.ƒ(x)= 2x⁴+5x²-1

In problems 5 through 8,ƒ(x)=x^2-3 and (x)=2x+1 .ƒind the value of the compositeƒunction, if it exists.

5. (f+g)(5)

6. (f-g)(-1)

7. (fg)(2)

8 . (f/g)(-√3)

For problems 9 through 11, construct and simplify the difference quotient (f(x+h)-f(x))/h.

9.ƒ(x)=x-4

10.ƒ(x)=2-x²

11.ƒ(x)=5x²+4x

In problems 12 and 13,ƒind (f°g)(x) and (g°f)(x) and the domain of each.

12.ƒ(x)=3x-2, g(x)=x²+5

13.ƒ(x)=6/x , g(x)=1/(2x+1)