dtan5457
  • dtan5457
if f(g(x)=2x/(x+z), and g(x)=2x/(x+4) find f(x)
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
dtan5457
  • dtan5457
@jim_thompson5910
jim_thompson5910
  • jim_thompson5910
is the `x+z` supposed to be `x+4` ?
dtan5457
  • dtan5457
they are both under 2x so no

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jim_thompson5910
  • jim_thompson5910
then I'm not sure. That z is throwing me off
dtan5457
  • dtan5457
perhaps its an x+2? I mean my teacher's handwriting does look like a Z.
jim_thompson5910
  • jim_thompson5910
that sounds possible
anonymous
  • anonymous
i have an answer that might work, but i think you are supposed to use inverse functions some how
anonymous
  • anonymous
by trial and error i came up with \[f(x)=\frac{1}{x-\frac{2}{x}}\]] we can see if that works, and also clean it up a bit
anonymous
  • anonymous
in any case it is wrong, but i think i can fix it
anonymous
  • anonymous
lets try this one \[f(x)=\frac{1}{\frac{1}{x}-\frac{2}{2x}}\]
anonymous
  • anonymous
ok one more time without me being so stupid \[f(x)=\frac{1}{\frac{1}{x}-\frac{2}{x+4}}\]
Nnesha
  • Nnesha
*
anonymous
  • anonymous
i think that actually works
dtan5457
  • dtan5457
where would a Z come up though? or is that for x+2
anonymous
  • anonymous
i used 2 with z it is too weird
dtan5457
  • dtan5457
so it would be impossible with z?
anonymous
  • anonymous
i am wagering it is 2
anonymous
  • anonymous
i wonder if we can do it with differentiation though, is that part of this class?
dtan5457
  • dtan5457
this is pre calc we only did difference quotients so far
anonymous
  • anonymous
maybe @Zarkon has a better idea seems like it needs to use inverse functions some how but i am clogged up in any case i am almost certain the (third) answer i wrote above works, just trying to figure how to subtract 2 in the denominator
anonymous
  • anonymous
take the reciprocal, subtract 2 in the numerator, then take the reciprocal again of course that mess i wrote can be cleaned up without using compound fractions
dtan5457
  • dtan5457
my teacher may have wrote something wrong of some sort its only been like 2 weeks into school i doubt he would have something harder than you can solve
anonymous
  • anonymous
usually you are told \(f\) and \(f\circ g\) and asked to find \(g\) that you can do by finding the inverse of \(f\) and applying it this is a bit different
dtan5457
  • dtan5457
you are right in my class example we had to find g and that was fairly simple

Looking for something else?

Not the answer you are looking for? Search for more explanations.