Question

Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct

Answer 1

yes

Explanation:

Given the 2 equations

y = x + 3 → (1)

y = - x + 7 → (2)

Substitute y = x + 3 into (2)

x + 3 = - x + 7 ( add x to both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Thus the functions intersect at x = 2

Answer 2

Yes.

Explanation:

To find the point of intersection we solve the system:

y = x + 3

y = -x + 7 Subtract:

0 = 2x - 4

2x = 4

x = 2.

She is correct.