Problem solving with functions and proof

12 questions

1. {\text{fg}}(x), {\text{gh}}(x), and {\text{fgh}}(x) are all examples of __________.
2. If {\text{f}}(x)=5x−1 and {\text{g}}(x)=2x+8 which is an expression for {\text{fg}}(x)?
3. If {\text{f}}(x)=5x−1 then 7{\text{f}}(8)=___.
4. If {\text{f}}(x)=x+5 and {\text{g}}(x)=x^2+4x-7 which is an expression for {\text{gf}}(x)?
5. x^2=100 has how many solutions?
6. Which of the below are accurate manipulations of the equation 2x=y+3?
7. If {\text{f}}(x)=5x and {\text{g}}(x)=7-x then 5(7-x) is __________ for {\text{fg}}(x).
8. If {\text{f}}(x)=5x-18 which is an expression for {\text{f}}(x+3)?
9. If {\text{f}}(x)=5x-18 and {\text{g}}(x)=-2x which is an expression for 2{\text{gf}}(5x)?
10. {\text{f}}(x)=k(x-3) If {\text{f}}(-1)=-24 find k where k is a constant.
11. Where is the error in this proof?
12. Where is the error in this proof?

License: OGL