Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Consider this system of equations.

f(x)=x−4g(x)=−x−2

Plot the point that represents the solution to the equation f(x)=g(x).

Sagot :

chikafujiwara

We are given two functions.

[tex]f(x)=x-4\\g(x)=-x-2[/tex]

The point that represents the equation [tex]f(x)=g(x)[/tex], will also be the intersection of those two lines, meaning we can set the two equations equal to each other and solve for [tex]x[/tex].

[tex]f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1[/tex]

Now that we are given the x value, we can plug this value back into either equation and solve for the y value.

[tex]f(1)=1-4\\f(1)=-3[/tex]

The point of intersection will be [tex](1,-3)[/tex].

Hope this helps!

WilliamOhene

Answer:

x=-1

Step-by-step explanation:

x-4=-x-2

x+x=-2+4

2x=-2

x=-1

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.