# Chloe Alexander

Precalculus teacher | Experienced educator in USA

I hold a degree in Precalculus from Bellevue University, where I honed my passion for mathematics. With years of experience, I specialize in simplifying complex precalculus concepts, making them accessible and enjoyable for students. My approach focuses on fostering a deep understanding of mathematical principles through personalized instruction and real-world applications. Whether it's trigonometry, functions, or algebraic concepts, I'm here to guide students towards mastery and success. Let's embark on this mathematical journey together and unlock your full potential in precalculus!

## Questions

What is the range of the function #y = x^2#?

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

How do you write the standard equation of a circle with the given center (-4,3) and tangent to the line y=1?

What is the sum of the first 35 terms in the geometric series #8-12+18...#?

How do you solve #Ln e^x = 4#?

How do you use composition of functions to show that #f(x)=(2+x)/x# and #f^-1(x) = 2/(x-1)# are inverses?

How do you find the asymptotes for #4^(x-5)-5#?

How do you divide using synthetic division: #(2u^4 - 5u^3 - 12u^2 + 2u - 8)/(u - 4)#?

How do you simplify #\log _ { y } ( 2x ^ { 2} y z ) ^ { 5}#?

How do you find the inverse of #f(x)=3^(x-1)-2#?

How do you find the inverse of #y=log_6 x#?

Let #u(x)=2x-1# and #w(x)=x^2#, how do you find u(w(-4)) and w(u(-4))?

Is #e^x# the unique function of which derivative is itself? Can you prove it?

How do you find the roots of #x^3-8x^2-200=0#?

How do you use the binomial series to expand #f(x) = (6-x)^-3#?

How do you solve using gaussian elimination or gauss-jordan elimination, #4x_1 + 5x_2 + 2x_3 = 11#, #2x_2 + 3x_3 - 4x_4 = -2#, #2x_1 + x_2 + 3x_4 = 12#, #x_1 + x_3 + x_4 = 9#?

How do you graph #3(x-4)^2+3y^2=12#?

Given the functions #F(x)=x+4# and #G(x)=2x^2+4# what is f(g(x))?

Phyllis invested $10,000, a portion earning a simple interest rate of 5 1 5 % per year and the rest earning a rate of 5% per year. After one year the total interest earned on these investments was $512.00. How much money did she invest at each rate?

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