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Let g(x) be a polynomial of degree one a...

Let g(x) be a polynomial of degree one and f(x) be defined by `f(x)=-{g(x), x<=0 and |x|^sinx, x>0` If f(x) is continuous satisfying `f'(1)=f(-1)`, then g(x) is

A

(1+ sin )x+1

B

(1-sin 1)x + 1

C

(a- sin 1)x-1

D

none of these

Text Solution

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The correct Answer is:
B
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