How do you find the domain of #[fog](x)# given #f(x)=5x# and #g(x)=x^3#?

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Answer 1 · 2017-01-13T13:08:21

The domain is #=RR#

This is a composition of functions

#f(x)=5x#

#g(x)=x^3#

The domain of #f(x)#is #D_f(x)=RR#

The domain of #g(x)#is #D_g(x)=RR#

#(fog(x))=f(g(x))=f(x^3)=5x^3#

The domain of #fog(x)# is #D_(fog(x))=RR#