Question

Graph by hand or solutions to -3 |x|+1=-5 by setting f(x)=-3|x|+1 and g(x)=-5 What are the coordinates of the points of this intersection?

Answer 1

The coordinates of the points is (2, -5) and (2, 5)

How to find the coordinates of the points

The coordinates of the points is solved by equation both expressions

The expressions given are

• f(x) = -3 |x| + 1

• g(x) = -5

Equating the expressions, we have

-3 |x| + 1 = -5

-3 |x| = -5 - 1

-3 |x| = -6

|x| = 2

x = 2 OR -2

The coordinates of the points of this intersection are

(2, -5) and (2, 5)