# Ariana Alvarez

Precalculus teacher | Experienced educator in USA

I hold a degree in Precalculus from Mitchell Hamline School of Law, blending my passion for mathematics with legal studies. My journey in education has equipped me with a deep understanding of precalculus concepts, which I love sharing with students. With a commitment to clarity and practicality, I aim to make complex math accessible and enjoyable. Whether it's solving equations or exploring functions, I'm here to guide students through the world of precalculus with patience and enthusiasm. Let's embark on this mathematical journey together!

## Questions

Given that point A has the position vector 4i+7j and point B has the position vector 10i+qj, where q is a constant, find a) the vector AB in terms of q b) Given further that the distance AB = 2 sqrt13, find the two possible values of q ?

How do you find vertical, horizontal and oblique asymptotes for #g(x)=5^x#?

How do you graph #F(x)=ln(x-3)#?

How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x)=(6x^2+2x-1 )/ (x^2-1)#?

How do you solve the system #a+5b=1, 7a-2b=44# using matrices?

What is the inverse function of #h(x)= sqrt(x + 5)#?

How do you find the vertical, horizontal and slant asymptotes of: #f(x) = (6x + 6) / (3x^2 + 1)#?

How do you use the binomial series to expand #1/sqrt(4+x)#?

How do you solve #(n+2) ! = 132 n !#?

How do you find all the zeros of #y=x^2-11x+30# with its multiplicities?

How do you find the vertical, horizontal or slant asymptotes for #g(x)=(2x^2) / (x^2 - 5x - 6)#?

How do you find the inverse of #f(x) =ln(x^2)#?

How do you expand the binomial #(2x-y)^6# using the binomial theorem?

If #f(x) = x^2# and #g(x) = x + 2#, what is #(g@f)(x)#?

How do you identify all asymptotes or holes for #f(x)=(-x^2+5x-4)/(x^2-7x+12)#?

How do you find the vertical, horizontal and slant asymptotes of: #f(x)=(x^4-x^2)/(x(x-1)(x+2))#?

How do you find the inverse of #y = 13/x # and is it a function?

How do you write # y = sqrt(sqrt(x) + 1)# as a composition of two simpler functions?

What is the common ratio in this geometric sequence 4, 16, 64, 256, 1024, ...?

Is -8 a non real complex number?