For some reason these three problems have been giving me trouble. They deal with functions and models. Can anyone help me out with them? If you can, show me all of the steps involved, since that usually helps me see where I am going wrong.
1. Find the domain and range of g(x) = square root of 2 + x + square root of 1 – x
(To clarify, after the equals sign the square root signs on both sides of the addition sign cover the 2+x and 1-x respectively)
2. Find the equation of the line with slope 3, which passes through the point (3,5). Write your answer in slope-intercept form.
3. Let ƒ(x) = x^2 + 3x – 2 Find and simplify (To clarify, after the equal sign it is x to the second power plus 3x minus two)
a. ƒ(x) + h
b. ƒ(x + h)
d. ƒ(x + h) - ƒ(x - h)