Find where the functions intersects

Thread starter WesleyGibson
Start date Apr 29, 2014
Tags

Functions

In summary, finding the intersection of two functions means finding the point where their graphs intersect, representing the solution to their equations. This can be done algebraically by setting the equations equal to each other and solving for the variable, or graphically by plotting the functions on a coordinate plane. Multiple intersections can occur and have various implications, such as solving real-world problems and understanding the relationship between the functions.

Apr 29, 2014

WesleyGibson

hi guys, new here, well how can you solve this equation

(x²−5)²/(x+7)²=√(169-x²)

I thought i could square both of them

Last edited: Apr 29, 2014

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Apr 29, 2014

jackarms

Hello there, and welcome -- yes, squaring both sides would work. What would you get following through with that?

May 1, 2014

WesleyGibson

Problem solved thanks

1. What does it mean to find where two functions intersect?

When two functions intersect, it means that they have a common point or points where their graphs intersect on a coordinate plane. This point represents the solution to the equations of the two functions.

2. How do you find the intersection of two functions algebraically?

To find the intersection of two functions algebraically, you need to set the two equations equal to each other and solve for the variable. The resulting value represents the x-coordinate of the intersection point. To find the y-coordinate, substitute the x-coordinate back into either of the original equations.

3. Can two functions intersect more than once?

Yes, two functions can intersect more than once. This can happen if the functions have multiple solutions to their equations or if they have a common line or curve that intersects at multiple points.

4. How do you find the intersection of two functions graphically?

To find the intersection of two functions graphically, you can plot the two functions on a coordinate plane and look for the point where the graphs intersect. This point will represent the solution to the equations of the two functions.

5. What is the significance of finding where two functions intersect?

Finding where two functions intersect can help in solving real-world problems involving two variables. It can also provide insights into the relationship between the two functions and their behaviors. Additionally, the intersection point can be used to find the maximum or minimum values of the functions.