Question

Find f(x) and g(x) as y=f(g(x))

Answer 1

y=3/(sqrt3x+4)

Answer 2

Hey @Luigi0210 can I get a bit of help for this one? =3

Answer 3

I would set it apart as \[f(x)=\frac{ 3 }{ \sqrt{x} }\]
So guess what g(x) gets to be?

Answer 4

3/sqrt4?

Answer 5

\[y=\frac{ 3 }{ \sqrt{3x+4} }\]
This is the equation right?

Answer 6

yup, thats the one

Answer 7

f(g(x)) means plug in the value of g(x) into f(x)

Answer 8

so what can you replace x with in f(x) to get that equation?

Answer 9

The inverse?

Answer 10

\[f(x)=\frac{ 3 }{ \sqrt{x} }\]
if we replace x, what does x have to equal to be:\[f(g(x))=\frac{ 3 }{ \sqrt{3x+4} }\]

Answer 11

3x+4?

Answer 12

there you go :D

Answer 13

So there are your two equations
\[f(x)=\frac{ 3 }{ \sqrt{x} }\]
and \[g(x)=3x+4\]

Answer 14

and there are many ways to write the same equation, so don't think my example is the only right solution