ALGEBRA Lecture Notes - Lecture 1: Bisection, Inverse Function, Negative Number
Document Summary
Answers: 4x^2 + 2x - 3x^2 + x = x^2 + 2x = x(x+2, 2x + 3 = 7; x = 2, the slope of a line is calculated as the rise over the run between two points. The rise is the difference in the y-coordinates, and the run is the difference in the x-coordinates. We can solve for y in the first equation to get y = 2x+1, and substitute that into the second equation to get 2x+1 = x-3. Solving for x, we get x = 2. Substituting that into either equation to solve for y, we get y : so the solution to the system of equations is (x,y) = (2,5), the inverse of a function f(x) is denoted as f^(-1)(x). To find the inverse of the function f(x) = 2x+3, we first rewrite the function in terms of y: y = 2x+3. Then we solve for x in terms of y: x = (y-3)/2.
