Question

find the function "f" and "g" such that h = g o f.... if h = ....

Answer 1

\[h \left( x \right) = \frac{ 2 - \left| x \right| }{ 2 + \left| x \right| }\]

Answer 2

can you please help? i need to learn to do this for a test: @amistre64

Answer 3

@amistre will write one possible answer, i will write another
there are many ways to do what is requested

Answer 4

there are many ways to express this: the simplest way is to factor; but in this case its prolly best to just define the separate function as |x|

Answer 5

\[g(x)=\frac{2-x}{2+x}\]
\[f(x)=|x|\]
\[g(f(x))=h(x)=\frac{2-|x|}{2+|x|}\]

Answer 6

does that make any sense?

Answer 7

yeap...that makes perfect sense! i understand. i needed a way to "break" \[h(x)\] to smaller bits

Answer 8

yep

Answer 9

good luck with it :) ihave to run off to classes for the next 5 hours

Answer 10

thanks a lot @amistre64