Expert: Richard J. Raridon - 7/28/2010

Question
So, I thought I was pretty positive of my answers until I checked the correct answers. I don't see where I went wrong. Can you please help me find out the error(s) thanks!


Determine if its EVEN, ODD, or NEITHER
1. √7x - 5 = 3
√7x = 8
(√7x)^2 = (8)^2
7x = 64
x = 64/7 Neither (After I did the necessary tests)

2. Find the slope and y-intercept of 5x – 10y = 30.
5x - 10y = 30
-10y = - 5x + 30
y = 1/2x - 3 ( So the slope is 1/2 and the y-intercept is -3)

3. Find the zeros of x² - 2x + 15/ 3x
No zeros

4. f(x) = x² - 5 and g(x) = x + 6 (f – g)(m – 2)
x^2-5-x-6
x^2-x-11
(m-2)^2 -(m-2) -11
m^2-4m+4-m+2-11
m^2-5m-5 (There answer is m^2- 5m-2)

5. f(x) = x^2 - 5 and g(x) = x + 6 (f ◦ g)
(x+6)^2-5
x^2+12x+31 (There answer is x^2+12x+33)

Answer
1. The trouble with using square root signs is that it's hard to tell what you're taking the square root of.  Suppose it's (7x-5)^1/2 = 3 in which case the answer is x=2
2. okay
3. okay
4. If you wrote it accurately, your answer is correct
5. I presume your symbol meant f(g(x)) in which case your answer is correct.