Question

How can I find g(x) in this equation using the given information?

Usually I'm better at this kind of stuff, but this one really stumped me.

h(x)=(f o g)(x) <--- I know what that means
And I'll put the rest of it in the comments because I can't make the right equation here in the question

Answer 1

\[h(x)=^{4}\sqrt{x+7}\]and\[f(x)=^{4}\sqrt{x+1}\]

Answer 2

I don't know how to find g(x)...

Answer 3

h(x)=(f o g)(x)
means
h(x)= f ( g(x) )
in other words, wherever you see an x in f(x), replace it with g(x)

Answer 4

\[\sqrt[4]{x+7}= \sqrt[4]{g(x)+1}\]

Answer 5

Yes, I know that much but I need to find g(x).

Answer 6

Where do I go from there? lol this is by far one of the most confusing questions I've gotten this year.

Answer 7

it must be that x+7 = g(x)+1
solve for g(x)

Answer 8

Ohh okay, so then x+6 = g(x), because I moved the one to the other side by subtraction?

Answer 9

yes. as a check, with g(x)= x+6 what is
(f o g)(x) ?

Answer 10

Okay, since (f o g)(x) = f(g(x)), then it would be\[^{4}\sqrt{(x+6)+1}\]

Answer 11

which matches h(x)

Answer 12

if you simplify x+6+1 to x+7

Answer 13

Thank you very much (:

Answer 14

yw