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Nnesha (nnesha):
f(x) is same as y
so you can write that equation as \[\huge\rm \color{blue}{y}=7\color{ReD}{x}+2\]
now to find inverse switch y and x \[\huge\rm \color{blue}{x}=7\color{ReD}{y}+2\]
solve for y^
Nnesha (nnesha):
can you solve x =7y +2 for y ?
OpenStudy (anonymous):
is it a one to one function?
Nnesha (nnesha):
did you solve that equation for y what did you get ?
OpenStudy (anonymous):
no
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OpenStudy (astrophysics):
To find the inverse:
Replace f(x) with y
Switch x's and y's, so put x where y is and x where y is.
Solve for y
Replace y with f^-1(x)
Nnesha (nnesha):
` so put x where y is and x where y is`
so put x where y is and y where x is
Nnesha (nnesha):
x=7y+2
do you know how to solve that equation for y ?
OpenStudy (astrophysics):
Lol nice
OpenStudy (anonymous):
ooooooh so it would be f-1(x) =x-2/7
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Nnesha (nnesha):
can you please tell me how u got that ? @zoeg :=)
Nnesha (nnesha):
oh well nvm i've to go
if you mean (x-2)/7
then yes that's right.