Home
Class 11
MATHS
Let the function f, g, h are defined fro...

Let the function `f, g, h` are defined from the set of real numbers `RR` to `RR` such that `f(x) = x^2-1, g(x) = sqrt(x^2+1), h(x) = {(0, if x lt 0), (x, if x gt= 0):}.` Then `h o (f o g)(x)` is defined by

A

`{{:(0"," x = 0),( x ^(2) "," x gt 0),( -x ^(2) "," x lt 0):}`

B

`{{:(0, x =0),(x ^(2) , x ne 0):}`

C

`{{:(0, x le 0),( x ^(2) , x gt 0):}`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f (x) = 3x -1, g (x) =x ^(2) + 1 then f [g (x)]=

If f(x) = {(x-1,",", x lt 0),(1/4,",",x = 0),(x^2,",",x gt 0):}

The function {:(f:R to R:f(x) = 1, if x gt 0),(" "= 0, if x =0),(" "=-1, if x lt0 is a):}

Let f be a function defined on R (the set of all real numbers) such that f^(prime)(x)=2010(x-2009)(x-2010)^2(x-2011)^3(x-2012)^4, for all x in Rdot If g is a function defined on R with values in the interval (0,oo) such that f(x)=ln(g(x)), for all x in R , then the number of point is R at which g has a local maximum is ___

Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0):} , then for all x , f[g(x)] is equal to