Where does `f(x)=x+sqrt(1-x),0ltxlt1` decrease ?

A

`(0,1)`

B

`(0,3/4)`

C

`(3/4,1)`

D

`(3/4,oo)`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Let f(x)= sqrt(1+x^(2)) then,

The function f(x)=(2x^(2)-1)/(x^(4)), x gt 0 , decreases in the interval …………. .

find the domain of f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

Find the range of f(x)=sqrt(x-1)+sqrt(5-x)

On which of the following intervals is the function f given by f(x) = x^(100) + sin x –1 decreasing ?

Value of x satifying (log)_(10)sqrt(1+x)+3(log)_(10)sqrt(1-x)=(log)_(10)sqrt(1-x^2)+2 is a. 0ltxlt1 b. -1ltxlt1 c. -1ltxlt0 d. None of this

The domain of f(x) = sqrt( 2 {x}^2 - 3 {x} + 1) where {.} denotes the fractional part in [-1,1]

Show that for a ge 1, f(x)=sqrt(3)sin x - cos x - 2ax + b is decreasing in R.

f(x)=sqrt(1-x^(2)), g(x)=sqrt(1-x)*sqrt(1+x) . Identical functions or not?

Range of f(x) =sin^-1(sqrt(x^2+x+1)) is