Inverse Linear Functions - Amazon S3

Inverse Linear Functions - Amazon S3

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)

1. 3y 12x = -72 3. -42 + 6y = x 2. -7y + 2x = -28 4. 3x + 24 = 2x

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