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If f(x) = {{:(x - 3",",x lt 0),(x^(2) - ...

If `f(x) = {{:(x - 3",",x lt 0),(x^(2) - 3x + 2",",x ge 0):}`, then `g(x) = f(|x|)` is
a. `g'(0^(+)) = - 3`
b. `g'(0^(-)) = -3`
c. `g'(0^(+)) = g'(0^(-))`
d. g(x) is not continuous at x = 0

A

`g'(0^(+)) = - 3`

B

`g'(0^(-)) = -3`

C

`g'(0^(+)) = g'(0^(-))`

D

g(x) is not continuous at x = 0

Text Solution

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The correct Answer is:
A
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