# 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 to obtain a quadratic equation, with integer coefficient, having roots 2+i√5 and 2-i√5 ?

How do you find the inverse of # y= log_2 (x+4)# and is it a function?

How do you find the sum of the arithmetic series #Sigma(5t-3)# from t=19 to 23?

How do you solve #log_9 (3x)+log_9 2 =2#?

How do you find the vertical, horizontal or slant asymptotes for # y = 4/(x - 3)#?

Given that #log_b(N^4)=8#, what is #log_b(1/N)#?

How do I find the limits of rational functions?

How do you find the vertical, horizontal or slant asymptotes for #(2x^2-1) / (3x^3-2x+1)#?

How do you find the inverse of #2x+3=y#?

How do you find the asymptotes for #(x^4-3x^3-21x^2+43x+60)/(x^4-6x^3+x^2+24x-20)#?

How do you simplify #8[(0.25,0.5),(0.75,1.5)]-2[(0.25,0.5), (0.75,1.5)]#?

If the third term is 3 of a geometric is 36 and the sixth term is 9/2, what is the explicit formula for the sequence ?

How do you find #(A-2I)^2X=0# given #A=((3, 1, -2), (-1, 0, 5), (-1, -1, 4))#?

Kirsten invested $1000 in an account at an annual interest rate of 3%. She made no deposits or withdrawals on the account for 5 years. How do you find the balance in the account, to the nearest cent, at the end of 5 years?

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

How do you solve #Log_2 (10X + 4) - Log_2 X = 3#?

How do you solve #log 5x=log(2x+9)#?

How do you determine if #h(x)=e^(|x|)# is an even or odd function?

What is the general term of an arithmetic sequence with #t_1 = 5# and #t_2 = 2#?

How do you find vertical, horizontal and oblique asymptotes for #f(x)=(3x^2 + 2x - 3 )/( x - 1)#?