Question

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).

Answer 1

x=-1

Explanation:

x-4=-x-2

x+x=-2+4

2x=-2

x=-1

Answer 2

We are given two functions.

`f(x)=x-4\\g(x)=-x-2`

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

`f(x)=g(x)\\x-4=-x-2\\2x=2\\x=1`

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

`f(1)=1-4\\f(1)=-3`

The point of intersection will be
`(1,-3)`.

Hope this helps!