Question

if f:R ->R is given by f(x) = ex and g: R-> is given by g(y) = sin y, find the composite maooing fog and gof.

Answer 1

HEY!! THIS SECTION IS FOR ENGLISH QUESTION SO KINDLY POST/AS ENGLISH QUESTION ^_^

Answer 2

fog = e^sin(x) and gof = sin(e^x).

It is given that f(x) = e^x  and g(y) = sin(y)

The composite association is described as comprising one function or mapping onto another function or mapping.

In relations, composite function fog is described as

fog = f(g(x))

since g(x) = sin(x), we can substitute

fog = f(sin(x)) = e^sin(x).

Similarly gof is described as

gof = g(f(x))

since f(x) = e^x, we can substitute

gof = g(e^x)) = sin(e^x)

Hence fog = e^sin(x) and gof = sin(e^x).