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Let f : R → R and g : R → R be two one - one and onto functions such that they are mirror images of each other about the line y = 0, then h (x) = f(x) + g(x) is
f : R → R & g : R →R be two one-one onto functions such that f & g are mirror images of each other about line y = 0. It means one is –ve of the other
i.e. f(x) = – g(x)
⇒ f(x) + g(x) = 0
⇒ h(x) = 0
h(x) is not onto as well as not one-one
The function f (x) = (x2 – 1) |x2 – 3x + 2| + cos |x| is not differentiable at x =
The function f (x) = (x – [x]) sin p x is, (where [.] denotes greatest integer function)
If f(x) = x3 + ax2 + ax + x(tanθ + cotθ) is increasing for all real x and if then
For what values of a, m and b, Lagrange's mean value theorem is applicable to the function f(x) for x [0, 2]
does not have critical points if 'a' equal to
Which of the following is/are true
If f is continuous at a point. Then |f| will also continuous at that point.
If f is differentiable then f|f| will also be differentiable
Correct (-)
Wrong (-)
Skipped (-)