Home
Class 12
MATHS
Let f :[2,oo)to {1,oo) defined by f (x)=...

Let `f :[2,oo)to {1,oo)` defined by `f (x)=2^(x ^(4)-4x ^(3))and g : [(pi)/(2), pi] to A ` defined by `g (x) = (sin x+4)/(sin x-2)` be two invertible functions, then
The set "A" equals to

A

[-5,-2]

B

[2,5]

C

[-5,2]

D

[-3,-2]

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f :[2,oo)to {1,oo) defined by f (x)=2^(x ^(4)-4x ^(3))and g : [(pi)/(2), pi] to A defined by g (x) = (sin x+4)/(sin x-2) be two invertible functions, then f ^(-1) (x) is equal to

Show that the function defined by f(x)= sin (x^(2)) is a continuous function

Show that the function defined by f(x)= sin (x^(2)) is a continuous function

Domain of the function defined by f(x)= sqrt(4x-x^(2)) is……

If f(x)=x sin x then f'(pi/2) = ……

If f : R rarr R be the function defined by f(x) = sin (3x +2) AA x in R . Then , f is invertible .

f:R to R is a function defined by f(x)= 10x -7, if g=f^(-1) then g(x)=

Is the function defined by f(x)= x^(2)- sin x + 5 continuous at x= pi ?

f:R->R is defined as f(x)=2x+|x| then f(3x)-f(-x)-4x=