Question

The graphs of the functions f (x) = 2x+ 7 and g(x) = x2 -1 intersect in t

xy-coordinate plane. What are the points of intersection?

Answer 1

See below

Explanation:

This is a line and a parabola......where they intersect the two equations are equal :

2x+7 = x^2 - 1

x^2 - 2x -8 = 0

(x-4)(x+2) = 0 shows the x-coordinate for intersections at x = 4 and -2

sub these x values into one of the equations to calculate the y coordinate

y = 2(4) + 7 = 15 so one point is 4,15

y = 2(-2) + 7 = 3 the other point is then -2, 3