Answered

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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 :

Chikafujiwaraidn

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!

WilliamOheneidn

Answer:

x=-1

Step-by-step explanation:

x-4=-x-2

x+x=-2+4

2x=-2

x=-1

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