Question

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

y = Seven divided by x squared. + 10

Answer 1

\[\frac{ 7 }{ x ^{2}+10 }\] So this is how it looks like?

Answer 2

yess

Answer 3

well f(g(x) is a composite function. This meaning that there is a function INSIDE of anpther function. So in this case we looking for a function g INSIDE of f. Does this make sense so far?

Answer 4

So what we are trying to do in see a function inside of a function.. With this we can see that f(x)=the outside function and g(x is the inside function. so
f(x)= 7/x
g(x)=x^2=10.
Why? because here g is inside of f...
If we replace all the x's in the f(x) function with the g(x) function we will get our y function of f(g(x)).

Answer 5

I hope that makes sense

Answer 6

thanks!

Answer 7

Youre very welcome!