# Elijah Allen

Precalculus teacher | Experienced educator in USA

I am a passionate educator specializing in Precalculus, equipped with a degree from Monmouth University. Committed to fostering a deep understanding of mathematical concepts, I bring enthusiasm and expertise to every tutoring session. My goal is to empower students to navigate the complexities of Precalculus with confidence. Let's embark on a journey of mathematical discovery together, where every question is an opportunity for growth and understanding.

## Questions

How do you solve #x+3=sqrt(18-2x^2)# algebraically?

How do you find the domain of the following functions #f(x)= ln(x-x^2)#?

For the function f(x) = #sqrtx+1/sqrtx# what are the intercepts and asymptotes ?

In 1998 the enrollment at a community college was approximately 2500 students. In 2002 the enrollment had increased to 3250 students. If the enrollment continues to increase at this rate, what is a reasonable projection of enrollment for 2010?

How do you verify if #f(x)=2x-4; g(x)=1/2x+2# are inverse functions?

How do you tell whether the sequence #100, 50, 25, 25/2, 25/4,...# is geometric?

If lx+my=1 is the normal to the parabola y^2=4ax then prove that al^3+2alm=m^2 ?

How do you find all values of x such that f(x) = 0 given #f(x) = (1/4)x^3 - 2#?

What is the end behavior of the graph of #f(x)=-2x^4+7x^2+4x-4#?

How do you simplify #(-i)+(8-2i)-(5-9i)# and write the complex number in standard form?

How do you find the Vertical, Horizontal, and Oblique Asymptote given #y = (2x+4)/( x^2-3x-4)#?

How do you find the horizontal asymptote for #(3x^5 + 1) / (2x^6 + 3x -1)#?

Given the piecewise function #f(x)= 3,x<=0#, #2, if x> 0#, how do you evaluate f(2)?

Is the function #f(x) = x^5 - 16x# even, odd or neither?

How do you determine if #f(x)= (x^2 -1)/(2x)# is an even or odd function?

If a function of the form #y=ax^2+k# has an #x#-intercept of 7.5, what is the other #x#-intercept?

How do you find the compositions given #f(x) = x/(x^2+1)#, #g (x) = x^2 +1#?

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

Let #F(x)=3x# and #g(y)=1/y#, how do you find each of the compositions and domain and range?

How do you find the range of #f(x)=3^(x+9)+4#?