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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 )
I have a homework question to use the factor theorem that I need to use Synthetic Substitution with. I did all the work and the divisor is a factor but the equation I have to use t
ac + xc + aw^2 +xw^2 i need to factor the problem above
2x+y/x+3y=-1/7and 7x+36y=47/3 hence find p if xy=p=x/y
What is a Math Basic Fact?
How do I take two points, the rise and run, and produce an algebraic equation?
8x+14y=4 -6x-7y=-10
4 pipes can fill a tank in 70 minutes.how long will it take to fill the tank by 7 pipes
There are several quantities out there within the world which are governed (at least for a short time period) by the equation,
-2
Using synthetic division do following divisions. Divide 2x 3 - 3x - 5 by x + 2 Solution Okay in this case we have to be a little careful here. We have to divide by a
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