Question

F(x) = 2(x – 1)– 5 and g(x) = – 2x + 1 , determine the x-values of the points of intersection.

Answer 1

Answer: x = 2

Explanation:

From the way you were referring to the x-values as plural, I assumed there were multiple x-values and multiple points of intersection, but these are linear equations, so one x-value it is!

Simply f(x)=2(x-1)-5 into f(x)=2x-7. Just plug in 2x-7, in order to make it equal to -2x+1. That would make the equation 2x-7=-2x+1. Add 7 to both sides to make it 2x=-2x+8. Add 2x to both sides to make it 4x=8. Divide 4 to both sides and that results with x=2.

Answer 2

Answer:

             x = 2

Step-by-step explanation:

These are equations of lines with different slopes, so there is only one point of their intersect.

The point of intersect is where f(x) = g(x).

2(x - 1) - 5 = - 2x + 1

 +2x            +2x

2x - 2 - 5 + 2x = 1

       +7               +7

          4x = 8

        ÷4     ÷4

          x = 2