# Serenity Johnson

Precalculus teacher | Tutor for 7 years

I hold a degree in Precalculus from PennWest Edinboro. With a passion for mathematics, I strive to instill clarity and confidence in my students' understanding of precalculus concepts. Through personalized instruction and real-world applications, I aim to make complex mathematical topics accessible and engaging. My approach emphasizes problem-solving skills and critical thinking, empowering students to excel in their academic pursuits. Whether it's trigonometry, functions, or graphing, I am dedicated to helping students unlock their full potential and achieve success in precalculus and beyond.

## Questions

How are the graphs #f(x)=x^3# and #g(x)=(x+2)^3-5# related?

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

How do you find the vertical, horizontal and slant asymptotes of: #y =(x^3 - 64)/(x^2 + x - 20)#?

How do you find the horizontal asymptote for #2/(x-3)#?

How do you find the vertical, horizontal and slant asymptotes of: # g(theta) = tan(theta)/(theta)#?

How do you solve the inequality #9x^2-6x+1<=0#?

How do you identify all asymptotes or holes for #y=(x^3-1)/(x^2+2x)#?

What is the distance between polar coordinates #(7, -150^circ)# and #(4, 130^circ)#?

How can you simplify #1/(3sqrt(1-x^2/9))#?

How do you find the inverse of #2x-2# and is it a function?

How do you solve #(\frac { 1} { 81} ) ^ { 6x + 2} = 9^ { 2x ^ { 2} + 12}#?

How do you find the vertical, horizontal and slant asymptotes of #a(x)=(2x^2-1) / (3x^3-2x+1)#?

How do you know if #f(x) = -2(x - 3) (x + 2) (4x - 3)# is an even or odd function?

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

Solve the following using logs? ln x^3 = 3

How do you find the inverse of # f(x)=log(x+15)#?

How do you expand #log (1/ABC) #?

How do you write the nth term rule for the sequence #1, 3, 5, 7, 9, ...#?

Someone please please help me with this question?

Show that the path traced by the point of intersection of three mutual perpendicular tangent planes to the ellipsoid #ax^2+by^2+cz^2=1# is a sphere with the same centre as that of the ellipsoid.?