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anonymous
 one year ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
y = two divided by x squared + 9
anonymous
 one year ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = two divided by x squared + 9

This Question is Closed

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[y=\frac{ 2 }{ x^2 }+9\] like this ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1f(g(x)) meaning substitute x for g(x) function

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah, and then you simplify?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1right but this one is backwardz u have to find f(x) and g(x) from\[y=\frac{ 2 }{ x^2 }+9\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is f(x) = 2/x + 9 and g(x) = x^2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1could be this \[\frac{ 2 }{ x^2 } +9 \] g(x) =x hmmm

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got it right, it was whtai wrote :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i have one more coudl you help wiht that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = Quantity x plus four divided by six and g(x) = 6x  4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(x) = x+4 / 6 g(x) = 6x  4

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1alright first try f(g(x))=x substitute x for g(x) function \[\huge\rm f(\color{ReD}{g(x}))=\frac{( \color{ReD}{6x4} )+ 4}{ 6 }\] now solve right side is it equal to x ??

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1alright now 2nd one g(f(x) ) is this equal to x ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1substitute x for f(x) function into f(x)

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1\[\huge\rm g(\color{ReD}{f(x)})=6\color{ReD}{x}4\] replace x with (x+4)/6

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1right \[6(\frac{x+4 }{ 6 })4\] is it equal to x ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.1both are equal that shows both are inverse of each other f(g(x)) = g(f(x))
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