y = 7/x^2 + 10
Find f(x) and g(x) so the function can be expressed as y = f(g(x)).

Question

y = 7/x^2 + 10
Find f(x) and g(x) so the function can be expressed as y = f(g(x)).

parthkohli · Answer

Okay, so you can introduce some other stuff here. Let's figure it out.

To start with, we are dividing 1 by a number's square + 10 and multiplying 7 to it... right?

parthkohli · Answer

So the first thing you are doing can be said as the inner function. So,$$ f(x) = {1 \over x^2  +10}$$Now what do you think is the outer function?

anonymous · Answer

g(x)=7/1

anonymous · Answer

i don't think that'll work... check to see if you get the correct expression if you compute f(g(x))...

anonymous · Answer

$$f(x)=(\frac{ 1 }{ x^2 } +10)  g(x)=\frac{ 7 }{ 1 }$$
$$f(g)(x)=\frac{ 7 }{ x^2 } +10$$
I think, i really don't get this so i'm kinda trying

anonymous · Answer

wait..
is the original expression this???:  $\large y=\frac{7}{x^2+10} $  ????
or is it something else?

anonymous · Answer

the original form is $$\frac{ 7 }{ x^2 } +10$$