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Pre-Caculus Test Tomarrow
Hey,
Can you please help me if you know any of this [4 questions]. i'll probably read this right before school tomarrow. My test is on domain, range, translations[i get most of that]. and it's on functions like f(g)=, g(f)=,f(f)=, g(g)=. and it is on getting the inverse of functions. alright i need help with the following:
heres an example:
find the inverse.
f(x)= 2-x/3+x
i got -3/2x, and if that's right, how do i check it because i need to know that for the test.
also i have an algerbra question:
how do you divide 2/(3/4). it's like a fraction in a fraction. i tryed to solve that and got 8/3.
okay, and if lets say we have f(x)=1/(x+2).
how do you translate the numerator onto a graph? [logically explain please]
and now one more question.
okay, let f(x)=
1+x x<-3
2 -3(<+=) x < 2
x squared x(>+=)2
i need to know how to graph that without a caculator, and if you only know how to with a caculator, please tell me how either way.
please help.
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I took Pre-Calc last year, but I barely remember most of what you're asking.
To find the inverse of a function, you have to solve for x. So you get x alone.
Take the (3+x) and multiply it by the "y". In other words, take it to the other side.
Then you get "y(x+3)= (2-x)"
Then multiply the y(x+3) out, and you get
xy+3y= (2-x)
Then send the"-x" over to the other side, along with the 3y.
And at that point, you have:
xy+x= 2-3y
Then factor the left side, and you should get...
x(y+1)= 2-3y
Then divide both sides by (y+1) and you get..
x= (2-3y)/(y+1)
=]
--Jack
(16/m)
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im out of school and haven't learned this since the begining of my sophomore year so i can't really help with all of it.
as for dividing the 2 over the 3/4 [i hope thats what you meant] you do it like this...
(2/1)/(3/4) [2/1 is the same thing as 2, which you probably know haha]
then you multiply by taking the reciprocal. so its...
(2/1)/(4/3)
you multiply across so its 2x4=8
and
1x3=3
it can't be reduced so the answer is 8/3
so you were right hahah
hope i helped !
im sorry i couldn't help you with the other things !
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