Question

GIven the functions f(x)-x^2+4x and g(x)=x-4 describe of show Bethany how she could find where f(x)=g(x) using a system of equations and name the values for x.

Answer 1

A system of equations is when two equations equal each other. In this case, f(x) and g(x) must equal each other.

f(x) - g(x) = 0

x^2 - x + 4 - (x - 4) = 0

x^2 - 2x - 4 = 0

Using the Quadratic Formula:

x = (2 ± √20)/2

Therefore, the values for x are x = 2 and x = -3.