Question

y=3/(squareroot3x+4) Find f(x) and g(x) so that the function can be described as y = f(g(x)).

Answer 1

you have lots and lots of choices

Answer 2

The choices are:
f(x) = 3/squarerootx, g(x) = 3x + 4
f(x) = squareroot3x+4, g(x) = 3
f(x) = 3/x, g(x) = 3x + 4
f(x) = 3, g(x) = squareroot3x+4

Answer 3

Sorry. I don't understand how to know what to extract/place to find f((g)x))

Answer 4

the first one is one choice for sure

Answer 5

if \(f(x)=\frac{3}{\sqrt{x}}\) and \(g(x)=3x+4\) then
\[f\circ g(x)=f(g(x))=f(3x+4)=\frac{3}{\sqrt{3x+4}}\]

Answer 6

but it is silly to give you choices because you have lots of other options
of those choices however, that is the only one that works

Answer 7

Oh I understand what you did! Thanks so much!

Answer 8

yw