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vitfil [10]
3 years ago
14

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

Mathematics
2 answers:
Natali [406]3 years ago
6 0

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.

Elis [28]3 years ago
3 0
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)

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