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Consider a function g(x) which is defined and differentiable on (-8, 8) and increasing in (1,2) and decreasing else where. We construct another function f (x) = g(x) - (g(x))^2 + (g(x))^3 . Find domain of f (x), it’s interval of monotonicity.

Consider a function g(x) which is defined and differentiable on (-8, 8) and increasing in (1,2) and decreasing else where.
We construct another function f (x) = g(x) - (g(x))^2 + (g(x))^3 . Find domain of f (x), it’s interval of monotonicity.

Grade:Upto college level

1 Answers

sudhir pal
askIITians Faculty 26 Points
10 years ago
domain of the function f(x) would be same .i.e (-8, 8)
even monotonicity also will be same.


Thanks & Regards
Sudhir,
askIITians Faculty
Qualification.
IIT Delhi

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