Question

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

y = eight divided by x squared + 2

please help and explain

Answer 1

You are looking for two functions f(x) and g(x). With f(x) being the first function and then you incorporate g(x) into that function to come up with y.
Example comming

Answer 2

Ok thanks

Answer 3

\[y = 4/(x+2).....if f(x) =4/x ....then... g(x)=(x+2)\]

Answer 4

Does this help?

Answer 5

well it gives me f(x) and g(x) like do I find the f(x) and g(x) in each?

Answer 6

Actually I gave you the equation for y. The equation should have been written above as f(g(x) = 8 / x^2+2.

Answer 7

Now solve for f(x) and g(x)

Answer 8

so f(x) is 8 and g(x) is x^2+2 ??

Answer 9

Close...f(x) = 8/x and g(x) is x^2+2. Then f(g(x)) = 8/x^2+2.
Because if f(g(x)) we take the equation for f(x) and plug in g(x) for x. Make sense?

Answer 10

thanks how about this one this is the last I tried doing it but square root threw me off Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = x2 - 3 and g(x) = square root of quantity three plus x

Answer 11

Do you know how do find the inverse of a function?

Answer 12

well would it be x/3 + square 3+x? for f(x(g))

Answer 13

Never mind a misread the question. Take f(x) = x^2 -3 and plug in g(x) for the x value what do you get?

Answer 14

explain?