If G(x) = 3x + 1, then G -1(1) is
answer choices
4, 1/3
,0
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myininaya (myininaya):
So first, if you want to find \[G^{-1}(1)=? \]
Then all you real need to do is find for what value ? that G(?)=1.
That is one way to do it.
You could actually start by finding the inverse of G.
So do you know how to solve the following equation for ? .
G(?)=1
myininaya (myininaya):
Find G(?) first.
Just take the G(x)=3x+1
and replace all the x's with ?'s
myininaya (myininaya):
Then solve G(?)=1 for ?
OpenStudy (anonymous):
This is the question
myininaya (myininaya):
right.
So you know how to find G(?) ?
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OpenStudy (anonymous):
no
myininaya (myininaya):
Do you see the G(x)=3x+1 thing?
To find G(?) replace all the x's in that above function with ?'s
OpenStudy (anonymous):
alright
G(?)=3?+1
myininaya (myininaya):
now solve G(?)=1 for ?
myininaya (myininaya):
replace G(?) with 3*?+1
like so
G(?)=1
3*?+1=1
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OpenStudy (anonymous):
its 1/3 right
myininaya (myininaya):
solve that equation for ?
OpenStudy (anonymous):
0
myininaya (myininaya):
right
\[\text{since } G(0)=1 \text{ then } G^{-1}(1)=0\]
OpenStudy (anonymous):
thanks
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OpenStudy (anonymous):
wait
OpenStudy (anonymous):
Given that F(x)=x 2+2, evaluate F(2).
0
2
6
myininaya (myininaya):
F(2) means to replace the x in F(x)=x 2 +2 with 2.
OpenStudy (anonymous):
OpenStudy (anonymous):
sorry wrong one
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OpenStudy (anonymous):
OpenStudy (anonymous):
@myininaya
myininaya (myininaya):
replace the x with what it says to replace it with
myininaya (myininaya):
then evaluate
OpenStudy (anonymous):
its 6
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OpenStudy (anonymous):
2^+2=6
myininaya (myininaya):
Just like when I told you to evaluate G(?) given G(x)=3x+1
you did G(?)=3*?+1
so if F(x)=x^2+2 then F(2)=2^2+2
right
OpenStudy (anonymous):
myininaya (myininaya):
well do you see any multiplication or addition?
OpenStudy (anonymous):
no
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myininaya (myininaya):
so that means you can eliminate what choices?
OpenStudy (anonymous):
both of those
myininaya (myininaya):
what choices are left?
OpenStudy (anonymous):
distributive and sym
myininaya (myininaya):
do you know the distributive property?
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OpenStudy (anonymous):
can you do me a favor
myininaya (myininaya):
What is the favor?
OpenStudy (anonymous):
can you sign into this site under my name and do this for me ill pay or you could be kind hearted and finish this moduel for me your a math wiz
myininaya (myininaya):
That is cheating though. I cannot do your work. It is not helping you. It would only be damaging you for future tests, quizzes, and other homework.
Please look at the CoC
http://openstudy.com/code-of-conduct
and the terms and conditions
http://openstudy.com/terms-and-conditions
.
These are both things you agreed to when you signed up on OpenStudy.
OpenStudy (anonymous):
youre right i need to do this but damn seems like nobody wants to help anybody on here
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myininaya (myininaya):
I was trying to help you...
OpenStudy (anonymous):
yeah but youre gonna leave sonner or later
OpenStudy (anonymous):
OpenStudy (anonymous):
wrong one
OpenStudy (anonymous):
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myininaya (myininaya):
Here is a hint:
\[x^0 =1 \text{ note: assuming } x \neq 0\]
OpenStudy (anonymous):
its 1
myininaya (myininaya):
yep
anything with the power 0 is 1
except for when you have 0^0
myininaya (myininaya):
you are suppose to go under the assumption a+b is not 0
so (a+b)^0 would be 1
OpenStudy (anonymous):
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myininaya (myininaya):
hint:
\[\frac{1}{x^n}=x^{-n}\]
myininaya (myininaya):
\[\frac{1}{(something)^n}=(something)^{-n}\]
OpenStudy (anonymous):
1/6?
myininaya (myininaya):
I'm seeing this problem:
\[\frac{1}{(xy)^1}\]
myininaya (myininaya):
Are you doing a different one...
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OpenStudy (anonymous):
yes thats the right problem
myininaya (myininaya):
look at what I wrote above what is the something and what is the n value?
myininaya (myininaya):
compare 1/(xy)^1
to 1/(something)^n
myininaya (myininaya):
determine what something is and what the n is and then replace it on the side of that equation i wrote
myininaya (myininaya):
\[\frac{1}{(something)^n}=(something)^{-n}\]
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myininaya (myininaya):
\[\frac{1}{(xy)^1}=( ? )^{- *}\]
your job
is to replace that ? and to replace the *
OpenStudy (anonymous):
1x and i dont know the last part is it -2
myininaya (myininaya):
I see no 2's in 1/(xy)^1
myininaya (myininaya):
what happen to the y
OpenStudy (anonymous):
yeah youre right
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OpenStudy (anonymous):
wym
myininaya (myininaya):
\[\frac{1}{(xy)^n}=\frac{1}{(something)^n}\]
Compare both sides of this equation
What would the something have to be and what would the n have to be for both of the sides to be the same as each other.
what is in the something's place
what is in the n's place