If F(x)=9x which of the following is the inverse of F(x)?
A) F^1(y)=Y/9
B) F^1(y)=9/y
C) F^1(y)=y-9
D) F^1(y)=y+9
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OpenStudy (anonymous):
@whpalmer4 can you please help me? :)
OpenStudy (anonymous):
@ganeshie8 what about you? :)
OpenStudy (kohai):
So do you know the general process?
OpenStudy (anonymous):
i need to flip it around so that it is opposite right?
OpenStudy (kohai):
Kind of... I'll guide you through it. :)
You first need to switch the x and y variable. What would that look like?
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OpenStudy (kohai):
(The f(x) counts as the y here)
OpenStudy (anonymous):
So F(y)=9?
OpenStudy (kohai):
Nearly. You would get,
f(x) = 9x
y = 9x
x = 9y
See how the variables were switched?
OpenStudy (anonymous):
yeah
OpenStudy (kohai):
So then you solve for y
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OpenStudy (kohai):
So what is y?
OpenStudy (anonymous):
uuum
OpenStudy (anonymous):
i feel stupid lol
OpenStudy (kohai):
No worries. It's just basic algebra. If you see that 9 and y are multiplied together, and you want y by itself, how do you do it? The opposite of multiplication is...
OpenStudy (anonymous):
division
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OpenStudy (anonymous):
so divide it by 9y?
OpenStudy (anonymous):
Y=1?
OpenStudy (kohai):
You're going to just divide by 9, to isolate y|dw:1421059508184:dw|