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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 )
Graph each equation, and determine the domain and range. determine whether the equation is a function.
On her walk, Ana decides to cut straight through a circular garden with a circumference of 753.6 feet. If she is walking at a pace of 5 feet per second, how long does it take her t
square root 18x^7y^5
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How do i do an fx problem?
#How do you solve them????
how do you solve x5 * x3
Find the zeros of the function by using the quadratic formula. Simplify your answer as much as possible. g(x)= 2x^2+4x-12
General problems for homework
Mary traveled 200 miles at an average rate of 50 miles per hour. How long did it take her?
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