Find f (x) and g (x) so the function can be expressed as y = f (g (x)). y = Two divided by x squared. + 3

Question

Mathematics

Amazon

30 July, 06:25

Find f (x) and g (x) so the function can be expressed as y = f (g (x)). y = Two divided by x squared. + 3

+3

Answers (1)

Know the Answer?

Ashley Dalton · Answer 1

Hello,

g (x) = x²+3

f (x) = 2/x

so f (g (x)) = f (x²+3) = 2 / (x²+3)

Explainations:

f (y) = 2/y

f (4y) = 2 / (4y)

f (x²) = 2/x²

f (x²+3) = 2 / (x²+3)