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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)=x2 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.

Grade:12th Pass

2 Answers

Chetan Mandayam Nayakar
312 Points
12 years ago

fog(x)=f(x) for x≥0 and is undefined for x<0

gof(x)=f(x), which is obvious

Ashwin Muralidharan IIT Madras
290 Points
12 years ago

Hi Menka,

 

The solution is in the scanned copy.

Hope that helps.

 

All the best.

Regards,

Ashwin (IIT Madras).

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