Question

Find f(x) and g(x) so the function can be expressed as y = f(g(x)) y=(8/x^2)+4

Answer 1

simple
\[g(x)\] would take over the spot of the x in \[f(x)\]
so if
\[f(g(x))=y\] and \[y=(\frac{ 8 }{ x }^{2}) +4\]
then \[g(x)=\frac{ 8 }{ x }^{2}\]
and \[f(x)=x+4\]

Answer 2

thank you :)

Answer 3

No problem :)

Answer 4

Find f(x) and g(x) so the function can be expressed as y = f(g(x)) y= (7/x^2)+10
can you help me with too :)

Answer 5

its the same concept
in \[y=(\frac{ 7 }{ x }^{2})+10\]the stuff in the parentheses is what g(x) is equal to and f(x) is the same only replace the stuff in the parentheses for x