Question

Help with this one math question?

Answer 1

@ganeshie8 @Callisto

Answer 2

@.Sam. @Blaze

Answer 3

use the hint

Answer 4

how?

Answer 5

\(\large (g o \color{red}{f})(-1) = g(\color{red}{f(-1)}) \)

Answer 6

find \(\color{red}{f(-1)}\) first

Answer 7

\(\color{red}{f(-1)} \) = (-1)^2 + 7
= ?

Answer 8

8

Answer 9

Yes, \(\color{red}{f(-1)} \) = 8

Answer 10

put this value above

Answer 11

\(\large (g o \color{red}{f})(-1) = g(\color{red}{f(-1)}) \)

\( = g(8)\)

\(= ?\)

Answer 12

how do i fill it in?

Answer 13

wat is \(g(x)\) ?

Answer 14

to find g(8), u just need to put 8 for x in g(x)

Answer 15

\(\large g(x) = \frac{x-4}{x}\)

\(\large g(8) = \frac{8-4}{8}\)

simplify

Answer 16

would the top line be 4? so would it turn into 4/8 and then a 1/2?

Answer 17

Yes !

Answer 18

good work !!

Answer 19

thanks :) so is that the answer?

Answer 20

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 :)

Answer 21

okay thanks! so how should i write that in my answer box?

Answer 22

that im not sure, may be put 1/2, or 0.5

Answer 23

okay thanks!!!

Answer 24

np :)

Answer 25

Do you mind helping with one more? It's my last question! @ganeshie8

Answer 26

Find the first three iterates of f(x)=-3x-7 if x0=-8

Answer 27

The zero is lower than the x btw

Answer 28

okay, recursion !

Answer 29

to find first iterate, find the \(f(x_0)\)

First iterate :-

\( f(x)=-3x-7 \)

\(x_1 = f(-8)=-3(-8)-7 = 24-7 = 17\)

Answer 30

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

Answer 31

For second iterate, you must find \(f(x_1) = f(17) \)

Answer 32

perfect !!! very good work !!

Answer 33

thanks!! :D

Answer 34

you're wlcme =))