Question

Find f(x) and g(x) so that the function can be described as y = f(g(x)).

y = 8/square root of quantity 2x+4

@agent0smith

Answer 1

Realize that is equivalent to multiplying 8 by (2x+4)^-1/2

Answer 2

\[\Large y = \frac{ 8 }{ \sqrt {2x + 4} }\]
You could let g(x) = sqrt(2x+4)

and f(x) = 8/x

Answer 3

16x+32^-1/2

Answer 4

f(x) = 8, g(x) = square root of quantity two x plus four.

Answer 5

f(x) isn't just 8

Answer 6

8/sqrt x

Answer 7

Now you'd have too many square roots. I already posted something that would work above

Answer 8

eight divided by square root of x., g(x) = 2x + 4

Answer 9

That works too.