Question

|f f (x) = cos x, g(x) = e^x , then f° g (the compostie funcition) = ______ ?

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Answer 1

$\huge\mathfrak\pink{Answer}$

Given that f(x)=cosx and g(x)=3x ^2

Given f:R→R and g:R→R,

∴f o g:R→R and g o f:R→R

f o g(x)=f(g(x))=f(3x ^2 )=cos(3x ^2 )

g o f(x)=g(f(x))=g(cosx)=3cos ^2 x

Since cos(3x ^2 )

=3cos ^2x.

∴g o f=f o g

Answer 2

Answer:

$\sf\fbox\red{Answer:-}$

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