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
what is skimming pricing?
what Is the common denominator for 1/2 and 1/4
The square of a number added to 25 equals 10 times the number. What is the number? Let x = the number. The statement, "The square of a number added to 25 equals 10 times the n
degree of a diffrential equation
(a) Given a norm jj jj on Rn, express the closed ball in Rn of radius r with center c as a set. (b) Given a set A and a vector v, all contained in Rn, express the translate of A by
Find interval for which the function f(x)=xe x(1-x) is increasing or decreasing function
What is shares and dividends?
Chain Rule : We've seen many derivatives. However, they have all been functions similar to the following kinds of functions. R ( z ) = √z f (t ) = t 50
If the areas of the circular bases of a frustum of a cone are 4cm 2 and 9cm 2 respectively and the height of the frustum is 12cm. What is the volume of the frustum. (Ans:44cm 2 )
The augmented matrix from a system of linear equations has the following reduced row-echelon form (a) How many equations are there in the system? (b) How many variab
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