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Function f(x), g(x) are defined on [-1, ...

Function `f(x), g(x)` are defined on `[-1, 3] and f''(x) > 0, g''(x) > 0` for all `x in [-1, 3]`, then which of the followingis always true ?

A

f(x) -g(x) is concave upwards on (-1,3)

B

f(x) g(x) is concave upwards on (-1,3)

C

f(x) g(x) does not have a critical point on (-1,3)

D

f(x) +g (x) is concave upwards on (-1,3)

Text Solution

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The correct Answer is:
D
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