Question

express y=sqrt of x^2+5 as y=f(g(x))

Answer 1

\[ y=\sqrt{x ^{2}+5}\] as y=f(g(x))

Answer 2

let g(x) = x^2 + 5

and \[f(x) = \sqrt{x} \]

Answer 3

So it would be written how? That's where i'm confused how do we write it

Answer 4

\[f(g(x)) = f(x^2 + 5) = \sqrt{x^2 + 5}\]

Answer 5

okay so do you know how to write y=f(u) and u=g(x) ? Sooo confusing where does u play a part in this?

Answer 6

well \[y = \sqrt{u} .... and..... u = x^2 + 5\]

Answer 7

ohhhhhhhhhhhhhhhhh.... okay I get what you did. One quick dumb question haha how do we know that y=\[\sqrt{u}\]

Answer 8

its just the most obvious....

Answer 9

okay I got it!!! Thank you for the help