FunctionHard

Question

If the function. g(x) =is differentiable, then value of k + m is -

Options

A.10/3
B.4
C.2
D.16/5

Solution

g(x) =
If g(x) is differentiable then it must be continuous at x = 3
∴ k√4 = m . 3 + 2
2k = 3m + 2
Now, slope must be equal
∴  = m
Now,      8m = 3m + 2
∴    m = & k =
∴     k + m = = 2

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