Solve the following:
1. Perform the requested operation or operations.
f(x) = 2x - 9, g(x) = 4x - 4
Find (f - g)(x)
2. Compare the graph of the given quadratic function f with the graph of y = x2
f(x) = (x - 8)2 + 4
Solve the problem
Find (f ° g)(3) when f(x) = -5x + 2 and g(x) = 8x2 + 9x + 7
3. Compute and simplify the difference quotient
f(x + h) - f(x)/h , h ≠ 0.
4. Consider the function h as defined. Find functions f and g so that (f ° g)(x) = h(x).
h(x) = 10/x^2 +4
5. Solve the problem.
Find (f °g)(-6) when f(x) = 4x + 4 and g(x) = 6x2 - 3x - 6.
6. Determine whether or not the function is one-to-one.
![1724_one to one function.jpg](https://secure.tutorsglobe.com/CMSImages/1724_one to one function.jpg)
7. Perform the requested operation or operations.
f(x) = 9x - 4, g(x) = 6x - 6
Find (f - g)(x).
8. Graph the basic function using a solid line and the transformed function using a dotted line.
y = -3 |x|
![2397_Basic function.jpg](https://secure.tutorsglobe.com/CMSImages/2397_Basic function.jpg)
9. Solve the problem
Select the equation that describes the graph shown
A. y = (x + 2)2- 4
B. y = (x + 4)2 + 2
C. y = (x - 4)2 + 2
D. y = x2 - 4
![711_describe graph.jpg](https://secure.tutorsglobe.com/CMSImages/711_describe graph.jpg)