If `fogoh(x)` is an increasing function, then which of the following is possible? (a)`f(x),g(x),a n dh(x)` are increasing (b)`f(x)a n d h(x)` are increasing and `g(x)` is decreasing (c)`f(x),g(x),a n dh(x)` are decreasing

If f(x)a n dg(x) are two positive and increasing functions, then which of the following is not always true? [f(x)]^(g(x)) is always increasing [f(x)]^(g(x)) is decreasing, when f(x) 1. If f(x)>1,t h e n[f(x)]^(g(x)) is increasing.

Which of the following statement is always true? (a)If f(x) is increasing, then f^(-1)(x) is decreasing. (b)If f(x) is increasing, then 1/(f(x)) is also increasing. (c)If fa n dg are positive functions and f is increasing and g is decreasing, then f/g is a decreasing function. (d)If fa n dg are positive functions and f is decreasing and g is increasing, the f/g is a decreasing function.

If f(x)=xe^(x(x−1)) , then f(x) is (a) increasing on [−1/2,1] (b) decreasing on R (c) increasing on R (d) decreasing on [−1/2,1]

Statement 1: The function f(x)=x In x is increasing in (1/e ,oo) Statement 2: If both f(x)a n dg(x) are increasing in (a , b),t h e nf(x)g(x) must be increasing in (a,b).

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing

Find the intervals of increasing and decreasing function for f(x)=x^(3)+2x^(2)-1 .

Find the intervals in which the function f given by f(x) =x^(3) +(1)/(x^(3)) , xne 0 is (i) increasing (ii) decreasing .

Find the intervals in which the function f given by f(x) = x^(2) – 4x + 6 is (a) increasing (b) decreasing

Find the intervals in which the function f given by f (x) = 4x^(3) – 6x^(2) – 72x + 30 is (a) increasing (b) decreasing.

Find the intervals in which the function f given by f(x) = 2x^(3) – 3x^(2) – 36x + 7 is (a) increasing (b) decreasing