Inverse Linear Functions 4-7 An inverse relation is the set of ordered pairs obtained by exchanging the x-coordinates with the y-coordinates of each ordered pair in a relation. If (5,3) is an
ordered pair of a relation, then (3,5) is an ordered pair of the inverse relation Example A and B are inverse relations A (-3,-16) (-1, 4)
(2,4) (5,32) B a. {(4,-10), (7, -19), (-5,17), (-3,11)} b.
x y -4 -13 -1
-8.5 5 0.5 9 6.5
Steps in finding the inverse function 1. 2. 3. 4. Replace f(x) with y in the equation for f(x) Interchange y and x in the equation
Solve the equation for y Replace y with f-1(x) in the new equation Find the inverse of f(x)=3x 2 Find the inverse of each function a) f(x) = 4x 8
c) f(x) = - x + 11 b) f(x) = 4x 12 d) f(x) = 1/3x + 7 Graph the inverse of each function
Randall wants to make a report on climate analysis. He found a table of temperatures recorded in degrees celsius. He knows that a formula for converting degrees fahrenheit to degrees celsius is c(x) = 5/9(x-32). He will need to find the inverse function to convert from degrees Celsius to degrees fahrenheit. Write the inverse of each notation in f-1(x)
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