Subjects
PRICING
COURSES
SIGN IN
Start Free Trial
Mojo S.
Caltech Graduate
Tutor Satisfaction Guarantee
SAT II Mathematics Level 2
TutorMe
Question:

If $$f(x) = \frac{5x + 10}{3x + 4}$$, what is the value of $$f(x)$$ as x approaches infinity?

Mojo S.
Answer:

The answer to this question is $$\frac{5}{3}$$. As $$x$$ approaches infinity, the value of the numerator can be approximated as $$5x$$ because the constant, $$10$$, will become very small in comparison. Similarly, as $$x$$ approaches infinity, the value of the denominator approaches $$3x$$. Thus, as $$x$$ approaches infinity, the value of the function approaches $$\frac{5x}{3x}$$. This simplifies to $$\frac{5}{3}$$.

Pre-Calculus
TutorMe
Question:

Find the domain and range for $$f(x) = \sqrt x$$?

Mojo S.
Answer:

The solution is defined for $$x\ge0$$, so the domain is $$[0,\infty]$$. This function is a monotonically increasing function. This means that if $$ a > b $$ then $$f(a) > f(b) $$. Using the domain, we know that the lowest value this function can take on is $$ f(0) = 0 $$. Because the function continues to increase as $$x$$ increases, the range is not bounded above. So the range is $$[0, \infty]$$.

Pre-Algebra
TutorMe
Question:

What is 2^5?

Mojo S.
Answer:

The answer for this question is 32. The exponent signs means how many times to multiply the base number by itself. So 2^5 is 2 * 2 * 2 * 2 * 2 = 32, so 5 multiplications of 2.

Send a message explaining your
needs and Mojo will reply soon.
Contact Mojo
Ready now? Request a lesson.
Start Session
FAQs
What is a lesson?
A lesson is virtual lesson space on our platform where you and a tutor can communicate. You'll have the option to communicate using video/audio as well as text chat. You can also upload documents, edit papers in real time and use our cutting-edge virtual whiteboard.
How do I begin a lesson?
If the tutor is currently online, you can click the "Start Session" button above. If they are offline, you can always send them a message to schedule a lesson.
Who are TutorMe tutors?
Many of our tutors are current college students or recent graduates of top-tier universities like MIT, Harvard and USC. TutorMe has thousands of top-quality tutors available to work with you.