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Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = nine divided by square root of quantity five x plus five.

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apologiabiology
[tex]y=\frac{9}{\sqrt{5x+5}}[/tex]
hmm, seems that we can say that the square root thing is the g(x)

I would say
[tex]f(x)=\frac{9}{x}[/tex] and
[tex]g(x)=\sqrt{5x+5}[/tex]

we could also have
[tex]f(x)=\frac{9}{\sqrt{x}}[/tex] and
[tex]g(x)=5x+5[/tex]

or
[tex]f(x)=\frac{9}{\sqrt{x+5}}[/tex] and
[tex]g(x)=5x[/tex]

there are many posibilities
debrubs97

Answer:

f(x)=[tex]\frac{9}{x}[/tex]

g(x)= [tex]\sqrt{5x+5}[/tex]

Step-by-step explanation:

y=[tex]\frac{9}{\sqrt{5x+5} }[/tex]

We have to find f(x) and g(x). There are many possible answers, but we are going to suppose that f(x)=[tex]\frac{9}{x}[/tex]

to obtain y(x) we should have [tex]\sqrt{5x+5}[/tex] in the denominator. We can obtain that by saying that g(x)= [tex]\sqrt{5x+5}[/tex] so f(g(x))=[tex]\frac{9}{sqrt{5x+5}}[/tex]

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