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
E1) Create a guessing game for children of Class 2, to familiarise them with the concept of a time interval E2) How could you use group dancing to teach concepts of geometry? Th
without a calculator give the exact value of each of the following logarithms. (a) (b) log1000 (c) log 16 16 (d) log 23 1 (e) Solution (b) log10
Critical Point Definition : We say that x = c is a critical point of function f(x) if f (c) exists & if either of the given are true. f ′ (c ) = 0 OR f ′ (c
?[1,99] x^5+2x^4+x^3+5x^2+6x+2÷x^2+2x
Show that the product of 3 consecutive positive integers is divisible by 6. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1
log6 X + log6 (x-5) = 1
find the area bounded by the curve y=5x^2-4x+3 from the limit x=0 to x=5
how can solve limits
Recall also which value of the derivative at a specific value of t provides the slope of the tangent line to the graph of the function at that time, t. Thus, if for some time t the
A rectangular garden has a width of 20 feet and a length of 24 feet. If each side of the garden is increased through the similar amount, how many feet is the new length if the new
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