FunctionEasy
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
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
∴
Now, 8m = 3m + 2
∴ m =
∴ k + m =
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