Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Given f ( x ) = 3x - 2 determine f -1 ( x ) .
Solution
Now, already we know what the inverse to this function is as already we've done some work with it. Though, it would be nice to in fact start with this as we know what we have to get. This will work as a nice verification of the procedure.
Hence, let's get started. We'll replace first f ( x ) with y.
y = 3x - 2
Next, replace all of the x's along with y and all y's with x.
x = 3 y - 2
Now, solve out for y.
x + 2 = 3 y
1/3 ( x + 2) = y
Lastly replace y with f -1 ( x ) .
f -1 (x)= x/3 + 2/3
Now, we have to verify the results. Already we took care of this in the previous section, though; really we have to follow the procedure so we'll do that here. It doesn't matter which one from two that we verify we just have to check one of them. This time we'll check that ( f o f -1 )( x ) = x is true.
( f o f -1 )( x ) = f [ f -1 ( x )]
=f [ x/3 + 2/3 ]
= 3 ( x /3+ 2 /3) - 2
= x +2 - 2
= x
a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
Ratio Test In this part we are going to take a look at a test that we can make use to see if a series is absolutely convergent or not. Remind that if a series is absolutely c
volume=(1/3)(pi)(radius of base)2(height) curved surface area=(pi)(r)(l), r is radius of base and l is length of straight line connecting apex of cone with point on edge of base
A. Design an investigation that details the following six components:
what is fraction?
can you help me with financial math??
Q. What are Complex numbers? Ans. Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is a special number called the imaginary unit, which
formules
David wants to rent a movie. He wants to watch either a comedy or a drama. The movie rental store has 18 comedies and dramas available for rent. Seven of the movies are comedies, a
To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, t
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd