I am a former civil engineer with 13 years of high school mathematics teaching experience that spans 4 schools in 4 countries.
I am currently teaching Geometry in Minneapolis, MN. Previously I have taught Precalculus (11 years), Algebra 1 (5 years) and Algebra 2 (5 years). My experience is as a classroom teacher in schools following the Common Core curriculum.
I have been making instructional videos as a resource for years using Educreations and ScreenCastify. This library of math content was especially useful this year as we moved to an online setting for much of the school year.
Personally, I am a husband and father to a 4-year-old girl. Before transitioning to education, I worked as a civil engineer and focused on traffic and roadway design. I enjoy games of all types and staying active.
Use the given functions $f$ and $g$ to find $f+g, f-g, f g,$ and $\frac{f}{g} .$ State the domain of each.$$f(x)=2 x^{2}+4 x-7, g(x)=2 x^{2}+3 x-5$$
Use the given functions $f$ and $g$ to find $f+g, f-g, f g,$ and $\frac{f}{g} .$ State the domain of each.$$f(x)=6 x^{2}+10, \quad g(x)=3 x^{2}+x-10$$
Use the given functions $f$ and $g$ to find $f+g, f-g, f g,$ and $\frac{f}{g} .$ State the domain of each.$$f(x)=\sqrt{x-4}, g(x)=-x$$
Use the given functions $f$ and $g$ to find $f+g, f-g, f g,$ and $\frac{f}{g} .$ State the domain of each.$$f(x)=\sqrt{4-x^{2}}, \quad g(x)=2+x$$
Use the given functions $f$ and $g$ to find $f+g, f-g, f g,$ and $\frac{f}{g} .$ State the domain of each.$$f(x)=\sqrt{x^{2}-9}, g(x)=x-3$$