Question

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

Answer 1

Answer:

( f o g )(x) = f( g(x) ) = f( sin x ) = e^(sin x)

( g o f )(x) = g( f(x) ) = g( eˣ ) = sin eˣ

Answer 2

Answer:

Step-by-step explanation:

$f(x)=ex$ and $g(y)=\text{sin}\text{ }y$

Now

$f(x)=ex\\\\f(g(x))=e\times g(x)\\\\fog(x)=e\times\text{sin}\text{ }y$

And

$g(y)=\text{sin}\text{ }y\\\\g(f(x))=\text{sin}\text{ }f(x)\\\\gof(x)=\text{sin}\text{ }ex$