Mathematics
8 Online
OpenStudy (anonymous):
Given f(x) = 2x-2/4 solve for f-1(3)
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OpenStudy (freckles):
2x-2/4 or (2x-2)/4 ?
OpenStudy (freckles):
whatever the case is
solve f(x)=3 for x and that value will be f^(-1)(3)
OpenStudy (anonymous):
OpenStudy (anonymous):
So -3? @freckles
OpenStudy (freckles):
I don't think (2x-2)/4=3 gives you x=-3
could be wrong though
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OpenStudy (anonymous):
my answer choices are
1
5
7
8
OpenStudy (freckles):
solve this correctly and you have your answer \[\frac{2x-2}{4}=3 \]
OpenStudy (anonymous):
thats not one of my choices
OpenStudy (freckles):
lol you have to SOLVE IT!
OpenStudy (anonymous):
I don't understand how!
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OpenStudy (freckles):
undo the division by 4 by multiplying both sides by 4
OpenStudy (freckles):
\[ 4 \cdot \frac{2x-2}{4}=4 \cdot 3\]
OpenStudy (freckles):
The 4's on the left hand side will cancel since 4/4=1
OpenStudy (anonymous):
What am I putting in for x?
OpenStudy (freckles):
no no you are solving for x
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OpenStudy (freckles):
\[\cancel{4} \cdot \frac{2x-2}{\cancel{4}}=4 \cdot 3 \]
OpenStudy (freckles):
Come on I know you can solve 2x-2=12
OpenStudy (freckles):
give it a try
OpenStudy (anonymous):
2x=14
OpenStudy (freckles):
ok one last step
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OpenStudy (anonymous):
7 right?
OpenStudy (freckles):
\[f(7)=3 \text{ implies } f^{-1}(3)=7\]
OpenStudy (anonymous):
Thank you! Can you help me with two more?
OpenStudy (anonymous):
@freckles