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
how to present root numbers on a number line
1. Finding the shortest path btween any two points on the surface of a sphere but use the method of the euler equations with an auxiliarty condition imposed? Question2:
how to solve temperature converting
The scores of students taking the ACT college entrance examination are normally distributed with a mean µ = 20.1 and a standard deviation σ = 5.8. a) A single student is sele
Find out the center of mass for the region bounded by y = 2sin (2x), y =0 on the interval [0 , Π/2] Solution Here is a sketch (diagram) of the region along with the cent
how can we write the project
Function composition: The next topic that we have to discuss here is that of function composition. The composition of f(x) & g(x) is ( f o g ) ( x ) = f ( g ( x )) In other
explain big 5 ppersonality model, suggest thier target market and one marketing strategiy for each .
como realizar la i elevavda a la 243
How long does it take for an amount of money P to double itself if it is invested at 8% interest compounded 4 times a year?
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: +1-415-670-9521
Phone: +1-415-670-9521
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd