Given two functions f and g, one way to obtain the real solutions of the equation f(x)=g(x) is to graph the equation y=f(x) and y=g(x) in an xy-plane and then find the x-coordinates of any points of intersection. Describe another way to solve f(x)=g(x) that also involves graphing in an xy-plane but that is based on the difference function f-g.

THANKS SO MUCH

Question

Given two functions f and g, one way to obtain the real solutions of the equation f(x)=g(x) is to graph the equation y=f(x) and y=g(x) in an xy-plane and then find the x-coordinates of any points of intersection. Describe another  way to solve f(x)=g(x) that also involves graphing in an xy-plane but that is based on the difference function f-g. 

THANKS SO MUCH

anonymous · Answer

let h(x) = f(x) - g(x)
since f(x) = g(x), you'd be finding the roots of h(x).

In other words, you'd be solving h(x) = 0.  This equivalent to finding where h(x) crosses the x axis.

anonymous · Answer

thanks a ton!

anonymous · Answer

yw...:)

anonymous · Answer

how would you solve $$\sqrt{x+1} = 2x$$ using that though?