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OpenStudy (anonymous):
how do you find the inverse of y=x^2 +2
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OpenStudy (dumbcow):
get x by itself
y-2 = x^2
sqrt(y-2) = x
OpenStudy (anonymous):
i thought you had to switch x and y. so you would have x=y^2 +2 then you subtract 2 so its x-2=y^2
OpenStudy (dumbcow):
either way works
you will still get f^-1 = sqrt(x-2)
OpenStudy (anonymous):
so the answer is ?
OpenStudy (anonymous):
y= sqrt of x-2?
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OpenStudy (dumbcow):
correct
OpenStudy (anonymous):
thank you. can you help me some more.?
OpenStudy (dumbcow):
what do you have
OpenStudy (anonymous):
the direcxtions say find ^-1 and the doman and range of f (-1) determine where f^-1 is a function. and the problem is
f(x) sqrt 3x
OpenStudy (dumbcow):
ok flip x and y
x = sqrt(3y)
solve for y
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OpenStudy (anonymous):
so the anser is x^2 = y
OpenStudy (dumbcow):
dont forget about the 3
x^2 = 3y
(x^2/3) = y
now what is domain and range
OpenStudy (anonymous):
domain is all real. and range idk
OpenStudy (dumbcow):
good
range is all possible y-values
since x is squared, all the negative x's we put in become positive right?
so our y value is always positive
OpenStudy (anonymous):
ohh. so its y is greater than 0
?
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OpenStudy (dumbcow):
correct, well equal to
y>=0
OpenStudy (anonymous):
oh em gee thank you.
:]
OpenStudy (dumbcow):
your welcome
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