Math- functions

Question

Algebraically, show where the functions f(x)=-2x+3 and g(x)=x^2-1 intersect. Please help me solve it 

Step by step.

Answer 1

If the lines intersect they share a point, The coordinates of that point, (x, y) solve both equations

f(x) = g(x)

-2x + 3 = x² - 1

0 = x² + 2x - 4

0 = (x - 2)²

x = 2

What is the value of y?