Question

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

Answer 1

Answer:

g(x) = 3x + 4

and f(x) = $\frac{3}{\sqrt{x}}$

Step-by-step explanation:

The function $y=\frac{3}{\sqrt{3x+4}}$

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

If g(x) = 3x + 4

and f(x) = $\frac{3}{\sqrt{x}}$

OR, If g(x) = $\sqrt{3x+4}}$

and f(x) = $\frac{3}{x}$.

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

Answer 2

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)