Let `f(x) = ax^3 + bx^2 + cx + d sin x`. Find the condition that `f(x)` is always one-one function.

Let R rarr f(x) = x^3 + ax^2 + bx + c sin x, a, b, c in R Find the condition that should be imposed on a, b, c so that the given function becomes invertible ?

Let f(x) = ax^(3) + bx +c . Then when f is odd,

Let f(x) = ax^(3) + bx^(2) + cx + d, a != 0 , where a, b, c, d in R . If f(x) is one-one and onto, then which of the following is correct ?

Let f(x) = ax^(3) + bx^(2) + cx + d, a != 0 , where a, b, c, d in R . If f(x) is one-one and onto, then which of the following is correct ?

Let f(x) = (ax+b)/(cx + d), then f(x) has

If f(x) =ax^(5) + bx^(3) + cx +d is an odd function, then d=

Let f(x) = (ax+b)/(cx+d) . Then fof(x) = x , then

Let f(x)=x^(3)+x^(2)+ax+4 be one-one. Find the range of a.

Let f(x) = sin a x+ cos bx be a periodic function, then