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noen ned os (1-xl. Ix31 ] 0 il Ixl>1 and...

noen ned os (1-xl. Ix31 ] 0 il Ixl>1 and g(x) = f(x - 1) =f(x + 1). TXER Then fad

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Let f(x)={1-|x|,|x|<=1 and 0,|x|<1 and g(x)=f(x-)+f(x+1) ,for all x in R .Then,the value of int_(-3)^(3)g(x)dx is

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Let f_(1) (x) and f_(2) (x) be twice differentiable functions where F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2) (0) = 1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R . then the number of solutions of the equation (F(x))^(2) =(9x^(4))/(G(x)) is...... .

Let f_(1) (x) and f_(2) (x) be twice differentiable functions where F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2)(0)=1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R then the number of solutions of the equation (F(x))^(2) =(9x^(4))/(G(x)) is...... .

Let f_(1) (x) and f_(2) (x) be twice differentiable functions where F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2)(0)=1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R then the number of solutions of the equation (F(x))^(2) =(9x^(4))/(G(x)) is...... .

let ( f(x) = 1-|x| , |x| 1 ) g(x)=f(x+1)+f(x-1)

Let g(x)=1+x-[x] and f(x)=-1 if x 0, then f|g(x)]=1x>0