anonymous
  • anonymous
Help with this one math question?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
anonymous
  • anonymous
@ganeshie8 @Callisto
anonymous
  • anonymous
@.Sam. @Blaze

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More answers

ganeshie8
  • ganeshie8
use the hint
anonymous
  • anonymous
how?
ganeshie8
  • ganeshie8
\(\large (g o \color{red}{f})(-1) = g(\color{red}{f(-1)}) \)
ganeshie8
  • ganeshie8
find \(\color{red}{f(-1)}\) first
ganeshie8
  • ganeshie8
\(\color{red}{f(-1)} \) = (-1)^2 + 7 = ?
anonymous
  • anonymous
8
ganeshie8
  • ganeshie8
Yes, \(\color{red}{f(-1)} \) = 8
ganeshie8
  • ganeshie8
put this value above
ganeshie8
  • ganeshie8
\(\large (g o \color{red}{f})(-1) = g(\color{red}{f(-1)}) \) \( = g(8)\) \(= ?\)
anonymous
  • anonymous
how do i fill it in?
ganeshie8
  • ganeshie8
wat is \(g(x)\) ?
ganeshie8
  • ganeshie8
to find g(8), u just need to put 8 for x in g(x)
ganeshie8
  • ganeshie8
\(\large g(x) = \frac{x-4}{x}\) \(\large g(8) = \frac{8-4}{8}\) simplify
anonymous
  • anonymous
would the top line be 4? so would it turn into 4/8 and then a 1/2?
ganeshie8
  • ganeshie8
Yes !
ganeshie8
  • ganeshie8
good work !!
anonymous
  • anonymous
thanks :) so is that the answer?
ganeshie8
  • ganeshie8
yup ! thats the answer ! go thru the method again, make sure u can do it by urself... cuz these composite functions never leave us... the keep showing up everywhere... good luck :)
anonymous
  • anonymous
okay thanks! so how should i write that in my answer box?
ganeshie8
  • ganeshie8
that im not sure, may be put 1/2, or 0.5
anonymous
  • anonymous
okay thanks!!!
ganeshie8
  • ganeshie8
np :)
anonymous
  • anonymous
Do you mind helping with one more? It's my last question! @ganeshie8
anonymous
  • anonymous
Find the first three iterates of f(x)=-3x-7 if x0=-8
anonymous
  • anonymous
The zero is lower than the x btw
ganeshie8
  • ganeshie8
okay, recursion !
ganeshie8
  • ganeshie8
to find first iterate, find the \(f(x_0)\) First iterate :- \( f(x)=-3x-7 \) \(x_1 = f(-8)=-3(-8)-7 = 24-7 = 17\)
anonymous
  • anonymous
Oh i figured it out!! It's like this right?? x1 = f( - 8) = (-3) . (-8) - 7 = 24 - 7 = 17 x2 = f( 17) = - 51 -7 = - 58 x3 = f( - 58) = (-3) . (-58) - 7 = 174 - 7= 167
ganeshie8
  • ganeshie8
For second iterate, you must find \(f(x_1) = f(17) \)
ganeshie8
  • ganeshie8
perfect !!! very good work !!
anonymous
  • anonymous
thanks!! :D
ganeshie8
  • ganeshie8
you're wlcme =))

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