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

Evaluate the area of the shaded region, Using the example provided, Evaluat...

Using the example provided, Evaluate the area of the shaded region in terms of π. a. 264 - 18π b. 264 - 36π c. 264 - 12π d. 18π- 264 b. The area of the shaded r

Parameters of the poisson mixture model, Using R function nlm and your code...

Using R function nlm and your code from Exercise E1.2, write an R function called pois.mix.mle to obtain MLEs of the parameters of the Poisson mixture model.

The shape of a graph, The Shape of a Graph, Part I : In the earlier secti...

The Shape of a Graph, Part I : In the earlier section we saw how to employ the derivative to finds out the absolute minimum & maximum values of a function.  Though, there is many

Lattice or complement lattice, Let  be the set of all divisors of n. Constr...

Let  be the set of all divisors of n. Construct a Hasse diagram for D15, D20,D30. Check whether it is a lattice Or Complement lattice.

Show that cos12+cos60+cos84=cos24+cos48 , L.H.S. =cos 12+cos 60+cos 84 =c...

L.H.S. =cos 12+cos 60+cos 84 =cos 12+(cos 84+cos 60) =cos 12+2.cos 72 . cos 12 =(1+2sin 18)cos 12 =(1+2.(√5 -1)/4)cos 12 =(1+.(√5 -1)/2)cos 12 =(√5 +1)/2.cos 12   R.H.S =c

General math, Kwai made 5 pints of iced tea. How many cups of tea did he ma...

Kwai made 5 pints of iced tea. How many cups of tea did he make?

Distribution of sample means not normal, The distribution of sample means i...

The distribution of sample means is not always a normal distribution. Under what circumstances is the distribution of sample means not normal?

Reflection , How do you reflect about the origin

How do you reflect about the origin

Least cost method in operations research, algorithm and numerical examples ...

algorithm and numerical examples of least cost method

Calculate moving average, Calculate Moving Average The table given bel...

Calculate Moving Average The table given below represents company sales; calculate 3 and 6 monthly moving averages, for data Months Sales

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