Respuesta :

jbmow
Well, your equation y=3/SQRT(3x+4) should be rationalized, but that's not what you want.

If f(x) = 3/SQRT(x+4) and g(x) = 3x

f(g(x)) then = 3/SQRT(3x+4), but rationalizing this = 3SQRT(3x+4)/(3x+4)

Answer:

g(x) = 3x + 4

and f(x) = [tex]\frac{3}{\sqrt{x}}[/tex]

Step-by-step explanation:

The function [tex]y=\frac{3}{\sqrt{3x+4}}[/tex]

has two possible f(x) and g(x).

If g(x) = 3x + 4

and f(x) = [tex]\frac{3}{\sqrt{x}}[/tex]

OR, If g(x) = [tex]\sqrt{3x+4}}[/tex]

and f(x) = [tex]\frac{3}{x}[/tex].

Further, f(g(x)) is the symbol of composition.

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