If f(x)=x 2 when x≤0 =x when x0, and g(x)=-ιxι,x belongs to R, then find fog and gof.Here ιxι denotes modulus of x.

Question

If f(x)=x 2 when x&le;0 =x when x>0, and g(x)=-&iota;x&iota;,x belongs to R, then find fog and gof.Here &iota;x&iota; denotes modulus of x.

Chetan Mandayam Nayakar · Answer

fog(x)=f(x) for x&ge;0 and is undefined for x<0 gof(x)=f(x), which is obvious

Ashwin Muralidharan IIT Madras · Answer

Hi Menka, The solution is in the scanned copy. Hope that helps. All the best. Regards, Ashwin (IIT Madras).

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If f(x)=x 2 when x≤0 =x when x>0, and g(x)=-ιxι,x belongs to R, then find fog and gof.Here ιxι denotes modulus of x.

If f(x)=x²when x≤0

=x when x>0,

and g(x)=-ιxι,x belongs to R,

then find fog and gof.Here ιxι denotes modulus of x.

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