Question

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.

Answer 1

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

I would say
$f(x)=\frac{9}{x}$ and
$g(x)=\sqrt{5x+5}$

we could also have
$f(x)=\frac{9}{\sqrt{x}}$ and
$g(x)=5x+5$

or
$f(x)=\frac{9}{\sqrt{x+5}}$ and
$g(x)=5x$

there are many posibilities

Answer 2

Answer:

f(x)=$\frac{9}{x}$

g(x)= $\sqrt{5x+5}$

Step-by-step explanation:

y=$\frac{9}{\sqrt{5x+5} }$

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

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