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inverse functions

a man, a plan, a function. inverted.

Is f={(6,2),(5,4),(-1,0),(7,3)} a one to one function? Yes, because every y-value (2,4,0,3) corresponds to just one x-value (6,5,-1,7).
Is g={(3,9),(-4,2),(-3,9),(0,0)} a one to one function? No, because 9, one of the y values, corresponds with two x values, both 3 and -3.
How does one find the inverse of f={(6,2),(5,4),(-1,0),(7,3)}? By switching all of the x and y variables, and writing f as f^-1 to show that it has been inverted. so: f^-1={(2,6),(4,5),(0,-1),(3,7)}
Find an equation of the inverse of f(x)=x+3 First, replace f(x) with y, then interchange the two, then subtract 3 from the y side, solving for y. Answer: f^-1(x)=x-3
Find the equation of the inverse of f(x)= 3x-5 then graph both equations. f(x)= 3x-5 inverted becomes f^-1(x)=x/3+5/3. Plot the points of each and they should be symmetrical about the line x=y
Created by: seanhogan