Inverse functions, Mathematics

Assignment Help:

We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some functions, it is possible to express x in terms of y so that, given the value of y, the value of x can be uniquely determined. The function that expresses the variable x in terms of the variable y is called the inverse function and is denoted by x = f-1 (y).

Example 

y = f(x) = 5x + 3

Solving x in terms of y,

x

= (y-3)/5 = f-1 (y)

Related Discussions:- Inverse functions

In an election contested between a and b determine vote, In an election con...

In an election contested between A and B, A obtained votes equal to twice the no. of persons on the electoral roll who did not cast their votes & this later number was equal to twi

How do you find the second minimum spanning tree of a graph, How do you fin...

How do you find the second minimum spanning tree of a graph?  Find the second minimum spanning tree of the following graph.  Ans: The second minimum spanning tree is acq

Partial Differential Equation, Consider the wave equation u_tt - u_xx = 0 w...

Consider the wave equation u_tt - u_xx = 0 with u(x, 0) = f(x) = 1 if -1 Please provide me a detailed answer. I had worked the most part of this question and the only I would like

Permatuation and combination problem, A,B,C are natural numbers and are in ...

A,B,C are natural numbers and are in arithmetic progressions and a+b+c=21.then find the possible values for a,b,c Solution) a+b+c=21 a+c=2b 3b=21 b=7 a can be 1,2,3,4,5,6 c c

Pendulum swings, how many pendulum swings will it take to walk across the c...

how many pendulum swings will it take to walk across the classroom

Recognize the intervals for function h ( x ) = 3x5 - 5x3 + 3, For the given...

For the given function recognize the intervals where the function is increasing and decreasing and the intervals where the function is concave up & concave down. Utilizes this info

How many pages must he read before he takes a break, Joey has 30 pages to r...

Joey has 30 pages to read for history class tonight. He decided in which he would take a break while he finished reading 70% of the pages assigned. How many pages must he read befo

Trignometric Equations, Equation for the given intervaks in the intervaks, ...

Equation for the given intervaks in the intervaks, giving ypout answer correct to 0.1 1.sin x = 0.8 0 2. cos x =-0.3 -180 3.4cos theta- cos theta=2 0 4. 10tan theta+3=0 0

Two circles touching internally prove that ox:oy=oa:ob, Two circles touchin...

Two circles touching internally at O. OXY, OAB straight lines, the latter passing through the centres. Prove that OX : OY = OA : OB. Given : Two circles touching internally a

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd