# 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

How do you find the inverse of # y =sqrt(x-4)#?

If the function #f(x) = (3x-c)/(ax+2)# is a constant function, what is the value of #a*c# ?

How do I find the trigonometric form of the complex number #3-4i#?

Show that x=#1/4# is one of the roots of equation 4#x^3#-#x^2#-4x+1=0 Factorise 4#x^3#-#x^2#-4x+1 completely. Hence,solve (pls see below).?

Is the sequence -24, -12, 0 a geometric sequence?

How do you solve the system #x+2y-z=6#, #-3x-2y+5z=-12#, and #x-2z=3#?

How do you find all the asymptotes for function #f(x) = (11(x-5)^5(x+6)^5)/ (x^10+11x^5+30)#?

How do you find the vertical, horizontal and slant asymptotes of: #(x^2-25)/(x^2+5x)#?

How do you describe the transformation in #y=(x+3)^2-1#?

What's the value of a matrix raised to the -1 power?

How do you solve #4 log (x-2) = 7#?

If the ratio of the roots of #lx^2+nx+n = 0# is #p/q# then how do you prove that #(p/q)^(1/2)+(q/p)^(1/2)-(n/l)^(1/2) = 0# ?

How do you graph #36x^2-4y^2=144# and identify the foci and asympototes?

How do you find the inverse of #f(x) = 2x+1#?

How do you simplify and divide #(x^3+3x^2+3x+2)/(x^2+x+1)#?

Let #f(x) = 2 -x# and #f(g(x)) = (2x-3)/x#, how do you find g(x)?

How do you find the vertical, horizontal or slant asymptotes for # y = 6/x#?

How do you find the inverse of # y = 6x – 3#?

How do you determine if #f(x)= 2x^3+6x # is an even or odd function?

How do you find the asymptotes for #h(x) = (x+6 )/(x^2 - 36)#?