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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 )
In this section we are going to solve inequalities which involve rational expressions. The procedure for solving rational inequalities is closely identical to the procedure for sol
hello please help me on the solucion
4x-18 equals-58
(x+2) (x+3)
Do you accept screen shot because it is a graph.
Consider the function y = 2x. the domain is restricted to 0 = x = 4, what is the range of this function
REENA HAS PENS AND PENCILS WHICH TOGETHER ARE 40 IN NUMBER.IF SHE HAS 5 MORE PENCILS AND 5 LESS PENS,THEN THE NUMBER PENCILS WOULD BECOME 4 TIMES THE NUMBER OF PENS.FIND THE ORIGIN
The following is a double inequality. -9 In a double inequality we are saying that both of the inequalities
I have 10 apples and my friend has 100 apples.How many apples do we have ?
s-1.75=0.02
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