math

What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect? Give your answer as a list of points separated by semicolons. (So "(1,-3); (2,3); (5,-7)" is a valid answer format.)

  1. 👍 0
  2. 👎 0
  3. 👁 145
asked by Lola
  1. well, they intersect where f(x) = g(x).

    x^3-x^2+x+1 = x^3+x^2+x+1
    -x^2 = x^2
    x = 0

    to check, see

    https://www.wolframalpha.com/input/?i=x^3-x^2%2Bx%2B1+%3D+x^3%2Bx^2%2Bx%2B1

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra

    What are the coordinates of the points where the graphs of $f(x)=x^3-x^2+x+1$ and $g(x)=x^3+x^2+x-1$ intersect? Give your answer as a list of points separated by semicolons, with the points ordered such that their $x$-coordinates

    asked by Math N00b on January 4, 2018
  2. Math

    Hello, can anyone help me with this one question? What are the two solutions of x^2 – 2x – 4 = –3x + 9? A. the y-coordinates of the y-intercepts of the graphs of y = x^2 – 2x – 4 and y = –3x + 9 B. the x-coordinates of

    asked by Brady on January 20, 2016
  3. Algebra

    What are the coordinates of the points where the graphs of f(x)=x^3-x^2+x+1 and g(x)=x^3+x^2+x-1 intersect? Give your answer as a list of points separated by semicolons. (So "(1,-3); (2,3); (5,-7)" is a valid answer format.)

    asked by Trish Goal on November 7, 2014
  4. Math

    The graphs of y= x^2 - 8x - 35 and y= -2(x^2) + 16x +3 intersect in two points. What is the sum of the x-coordinates of the two points of intersection?

    asked by K on February 2, 2011
  5. Math/Algebra

    The graphs of y=3-x^2+x^3 and y=1+x^2+x^3 intersect in multiple points. Find the maximum difference between the y-coordinates of these intersection points.

    asked by Trish Goal on November 6, 2014
  6. Algebra1 Word Problem HELP#2

    Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^x and y = 4^x−2 intersect are the solutions of the equation 2^x = 4^x−2. (4 points) Part B: Make tables to find the solution to 2^x =

    asked by Tony K on July 30, 2017
  7. ALEGEBRA 1

    Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2−x and y = 4x + 3 intersect are the solutions of the equation 2−x = 4x + 3. Part B: Make tables to find the solution to 2−x = 4x + 3.

    asked by Annabelle on January 4, 2016
  8. algebra 1

    Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the

    asked by steph on December 11, 2017
  9. math

    Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. Part B: Make tables to find the solution to 4x = 2x−2. Take the

    asked by faith on December 11, 2017
  10. Calculus

    The shaded regions R1 and R2, shown below, are enclosed by the graphs of f(x)= −x^2 and g(x)= −2^x. (gyazo.com/7bcf02392ff69e2a1280588308342e8e) Find the x- and y-coordinates of the three points of intersection of the graphs

    asked by Josh on April 24, 2019

More Similar Questions