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Here are two one-to-one functions f (x ) and g ( x ) if
(f o g )( x ) = x AND ( g o f ) ( x ) = x
then we say that f ( x )& g ( x ) are inverses of each other. More particularly we will say that g ( x ) is the inverse of f ( x ) and specified it by
g ( x ) = f -1 ( x )
Similarly we could also say that f ( x ) is the inverse of g ( x )and specified it by
f (x ) = g -1 ( x )
The notation which we use really based upon the problem. In most of the cases either is acceptable.
For the two functions which we started off this section along with we could write either of the following two sets of notation.
f ( x ) = 3x - 2 f -1(x) = x /3+ 2/3
g ( x ) = x/3 + 2/3 g -1 (x ) = 3x - 2
Now, be careful along with the notation for inverses. The "-1" is not an exponent in spite of the fact that is certain does look like one! While dealing with inverse functions we've got to keep in mind that
f-1(x) ≠ 1/ f ( x )
Dependent system example Example: Solve the given system of equations. 2x + 5 y = -1 -10x - 25 y = 5 Solution In this instance it looks like elimination would b
Ask question1 MATH 1110 – Mathematics for I.T. Follow the instructions given below to submit your work. ? Use MS Word to open a new solution file. ? Write your name, Student Id and
3/8=n/12
What is the solution of 6w-8>22
x
what is the reciprocal of 4 over 3 .
how do you change this (x+2y=10) equation into "y" form ?
(-5,-2) y=5/2x+3
4x/y-3x/y+5x/y-x/y
If you have a ten by ten mile square and one square of land is perserved for a cementary how many cementaries can you fit in one square. There are fourty-six cementaries.
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