f(x)=4x^2.....g(x)=-2x^2......suppose the domain of f(x) =[-18,36]....and the domain of g(x)=[-10,10]....in this case find the domain of fog(x).....these domains are supposed to be like this....just find the domains in the cases mentioned..
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Let's name D the domain of fog
D={-10<=x<=10 and -18<=-2x^2<=36}
D={-10<=x<=10 and -18<=x^2<=9}
(obviously -18<=x^2 )
D={-10<=x<=10 and x^2<=9}
D={-10<=x<=10 and -3<=x<=3}
Finally D=[-3,3]
D={-10<=x<=10 and -18<=-2x^2<=36}
D={-10<=x<=10 and -18<=x^2<=9}
(obviously -18<=x^2 )
D={-10<=x<=10 and x^2<=9}
D={-10<=x<=10 and -3<=x<=3}
Finally D=[-3,3]