# Liam Brennan

Precalculus teacher | Tutor for 9 years

I'm a precalculus expert with a degree from Franklin W. Olin College of Engineering. With a passion for mathematics, I've honed my skills to simplify complex concepts. My goal is to empower students to excel in precalculus, providing clear explanations and personalized guidance. Let's tackle those math challenges together!

## Questions

The positive numbers e and f are the 2nd and 14th terms respectively of an arithmetic progression whose first term is 1.It is also given that e,9 and f are three consecutive terms of a geometric progression. Find the values of e and f. ?

What are all the zeroes of #g(x) = 3x^3 + 2x^2 - 7x - 6#?

How do you simplify #(-3+6i)+(1-9i)#?

If one of the roots of #x^3-3x+1=0# is given by the rational (companion) matrix #((0,0,-1),(1,0,3),(0,1,0))#, then what rational(?) matrices represent the other two roots?

How do you find the asymptotes for #y = (x^2-2x)/(x^2-5x+4)#?

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

Let #f(x)= 1/(x-3)#, how do you find f(f(x))?

How do you find the asymptotes for #f(x) = (3 - x) / x^2#?

How do you write the first five terms of the sequence defined recursively #a_1=32, a_(k+1)=1/2a_k#?

How do you find the domain and range of #y = log (x - 2) + 1#?

Given a perimeter of 180, how do you find the length and the width of the rectangle of maximum area?

How do you find the equation of the exponential function #y=a(b)^x# which goes through the points(2, 18) and (6,91.125). What is the intercepts of this function?

How do you simplify #i^100#?

Is #log(x*x*x)=2log(x)+log(y)# ?

How do you write an explicit rule for the sequence 3,5,7,9,...?

How do you find the asymptotes for #f(x)= (2x+4)/(x^2-3x-4)#?

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

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

How do you find the inverse of # f(x)=x+4#?

How do you find the asymptotes for #y = x/(x-6)#?