Asked by Hannah

Find two functions f and g such that (f X g)(x) = h(x). (There are many correct answers.)

h(x) = 4 / (5x + 2)^2 =

My answers were: f(x) = 4 / 5x, and
g(x) = 5x + 2

Please explain. These answers were wrong and I do not know how to fix them!!
Answered by Damon
using your answers

g(x) = (5x+2)

f (g(x)) = 4 /[5(5x+2)]

= 4/(25x+10)
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Say g(x) = 1/(5x+2)
and f(x) = 4 x^2

then f(g(x)) = 4 [ 1^2/(5x+2)^2 ]
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