Answer each of the following question

1. Find an equation of each described line. Answers should be in point-slope form. drew a line a. Line passing through the two points (-2,3) and (4,5) across your paper.like b. Line passing through the point (3,4) and parallel to the line 2x+6y=9 this 6 7 2. Simplify the complex fraction: * *+1 x3 - 1 3. Let f(x)=x5/2 -2x32 - 3x42 a. Factor f(x) completely. (hint: there are 3 factors) b. Solve the equation f (x) = 0 for x. 4. Given f (x) =x2 - 2x, evaluate: f( xth) - f(x ) h 5. Given f ( x) = 2x- +3 and g(x) =- 1 *+1 a. Write the domain of f(x) in interval notation. b. Write the domain of g(x) in interval notation. c. Find g(f (x)) and simplify your answer as much as possible. 6. A rectangular box is constructed in the following way: The length of the box is half its width The height of the box is 4 feet more than twice the length If w is the width of the box in feet, write a simplified expression for V(w), the volume of the box in cubic feet as a function of its width. 7. Solve each of the following a. 2"- =10 b. 2sin e- 3sine+1=0, 05052x c. x3 -4x -12 >0. (Express your answer in interval notation.)