Home
Class 12
MATHS
. Which of the following is true ? (A) ...

. Which of the following is true ? (A) g is increasing on (1, ) (B) g is decreasing on (1, ) (C) g is increasing on (1, 2) and decreasing on (2, ) (D) g is decreasing on (1, 2) and increasing on (2, )

A

g is increasing on `(l, oo)`

B

g is decreasing on `(l, oo)`

C

g is increasing on (1, 2) and decreasing on `(2, oo)`

D

g is decreasing on (1, 2) and increasing on `(2, oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

f(x) = (1-x)^(2) cdot sin^(2) x + x^(2) ge 0, AA x and g(x) =int_(1)^(x) ((2(t-1))/((x+1))-log t ) f (t) dt Which of the following is true? (A)g is increasing on (1,infty) (B)g is decreasing on (1, infty) (C) g is increasing on (1,2) and decreasing on (2, infty) (D) g is decreasing on (1,2) and increasing on (2,infty)

Let f(x): [0, 2] to R be a twice differenctiable function such that f''(x) gt 0 , for all x in (0, 2) . If phi (x) = f(x) + f(2-x) , then phi is (A) increasing on (0, 1) and decreasing on (1, 2) (B) decreasing on (0, 2) (C) decreasing on (0, 1) and increasing on (1, 2) (D) increasing on (0, 2)

Let f''(x)gt0 and phi(x)=f(x)+f(2-x),x in(0,2) be a function then the function phi(x) is (A) increasing in (0,1) and decreasing (1,2) (B) decreasing in (0, 1) and increasing (1,2) (C) increasing in (0, 2) (D) decreasing in (0,2)

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]

The function defined by f(x)=(x+2)e^(-x) is (a)decreasing for all x (b)decreasing in (-oo,-1) and increasing in (-1,oo) (c)increasing for all x (d)decreasing in (-1,oo) and increasing in (-oo,-1)

the function f(x)=x^2-x+1 is increasing and decreasing

For the function f(x)\ =\ 1n\ (1-1n\ x) which of the following do not hold good? (a)increasing in (0,1) and decreasing in (1, e) (b) decreasing in (0,1) and increasing in (1, e) (c) x=\ 1 is the critical number for f\ (x) .(d) f has two asymptotes

Which of the following statement is always true? (a)If f(x) is increasing, the 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.

f(x)=int(2-(1)/(1+x^(2))-(1)/(sqrt(1+x^(2))))dx then fis (A) increasing in (0,pi) and decreasing in (-oo,0)(B) increasing in (-oo,0) and decreasing in (0,oo)(C) increasing in (-oo,oo) and (D) decreasing in (-oo,oo)

let f (x) = sin ^(-1) ((2g (x))/(1+g (x)^(2))), then which are correct ? (i) f (x) is decreasing if g (x) is increasig and |g (x) gt 1 (ii) f (x) is an increasing function if g (x) is increasing and |g (x) |le 1 (iii) f (x) is decreasing function if f(x) is decreasing and |g (x) | gt 1