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##### TEXTUAL EXERCISE–4: (SUBJECTIVE)
1. Let f(x) = sin(cos x), then check whether it is increasing or decreasing in
2. Show that x3 – 3x2 – 9x + 20 is positive for all values of x > 4.
3. Solve for x: (x + 3)5 – (x – 1)5 ≥ 244
4. Find range of
 a. xx b. log[(sin x)sin x + 1]
5. Show that ex – 1 + x = 2 has only one real root.

1. Decreasing

3. [0, ∞)

4. (a) [e–1/e, ∞)

(b) [log(e–1/e + 1), log 2]

##### TEXTUAL EXERCISE–4: (OBJECTIVE)
1. If f: ℝ → ℝ is decreasing and g : ℝ → ℝ is increasing then which of the following functions is increasing
 a. f o f b. g o g c. f o g d. g o f
2. The function is increasing function of x if
 a. ab > cd b. ad > ...

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