Maths-
General
Easy
Question
Hint:
For the given function we have to find the value of x when f(x) will be greater than or equals to 0. The given function has three cases we will put the value of x from each case and then determine when would f(x) will be 0 or positive.
The correct answer is:
For, 
, we have to find x when f(x) will be greater than or equals to 0.
As per the given function,
f(x) will be negative when
f(x) will be positive or 0 when 
(as f(x)= 
)
f(x) will be positive when 
(as f(x)= 
)
So, for 
Book A Free Demo
+91 
Grade*
Select Grade
Related Questions to study
physics
Same forces act an two bodies of different mass 2 kg and 5 kg initially at rest. The ratio of times. required to acquire same final velocity is…..
Same forces act an two bodies of different mass 2 kg and 5 kg initially at rest. The ratio of times. required to acquire same final velocity is…..
physicsGeneral
physics
An object of mass 3 kg is moving with a velocity of 5 m/s along a stright path. If a force of 12 N is applied for 3 sec on the object in a perpendicular to its direction of motion. The magnitude of velocity of the particle at the end of 3 sec is……..m/s.
An object of mass 3 kg is moving with a velocity of 5 m/s along a stright path. If a force of 12 N is applied for 3 sec on the object in a perpendicular to its direction of motion. The magnitude of velocity of the particle at the end of 3 sec is……..m/s.
physicsGeneral
physics
A rope which can withstand a maximum tension of 400 N hangs from a tree. If a monkey of mass 30 kg climbs on the rope in which of the following cases-will the rope break? (take g=10 ms2 and neglect the mass of rope)
A rope which can withstand a maximum tension of 400 N hangs from a tree. If a monkey of mass 30 kg climbs on the rope in which of the following cases-will the rope break? (take g=10 ms2 and neglect the mass of rope)
physicsGeneral
Maths-
Let 
For 
f(g(x))=f(1+x-
)
f(g(2009))= f (1+2009-
)
= f (1+2009-2009)
= f (1)
=1 (as x is greater than 0)
g(f(x))=g(f(2009))
= g(1) (f(2009)=0 as x is greater than 0)
=1+1-
=2+1
=1
f(g(x))=f(1+x-
)f(g(2009))= f (1+2009-
)= f (1+2009-2009)
= f (1)
=1 (as x is greater than 0)
g(f(x))=g(f(2009))
= g(1) (f(2009)=0 as x is greater than 0)
=1+1-
=2+1
=1
Let
Maths-General
For
f(g(x))=f(1+x-)
f(g(2009))= f (1+2009-)
= f (1+2009-2009)
= f (1)
=1 (as x is greater than 0)
g(f(x))=g(f(2009))
= g(1) (f(2009)=0 as x is greater than 0)
=1+1-
=2+1
=1
f(g(x))=f(1+x-
)f(g(2009))= f (1+2009-
)= f (1+2009-2009)
= f (1)
=1 (as x is greater than 0)
g(f(x))=g(f(2009))
= g(1) (f(2009)=0 as x is greater than 0)
=1+1-
=2+1
=1
physics-
A thin liquid film formed between a u-shaped wire and a light slider supports a weight of 
(see figure). The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is.
A thin liquid film formed between a u-shaped wire and a light slider supports a weight of (see figure). The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is.
physics-General
physics
Three masses 1 kg and 6 kg and 3 kg are connected to each other with threads and are placed on a table as shown in figure. The acceleration with which the system is moving is-ms2(g=10ms2)
Three masses 1 kg and 6 kg and 3 kg are connected to each other with threads and are placed on a table as shown in figure. The acceleration with which the system is moving is-ms2(g=10ms2)
physicsGeneral
physics-
The point of maximum and minimum attraction in the curve between potential energy (U) and distance (r) of a diatomic molecules are respectively.
The point of maximum and minimum attraction in the curve between potential energy (U) and distance (r) of a diatomic molecules are respectively.
physics-General
physics-
Which are of the following is the young's modulus (in 
for the wire having the stress strain curve in the figure.
Which are of the following is the young's modulus (in for the wire having the stress strain curve in the figure.
physics-General
physics
If the surfaces shown in figure are frictionless, the ratio of T1 and T2 is……..
If the surfaces shown in figure are frictionless, the ratio of T1 and T2 is……..
physicsGeneral
physics
Three blocks of masers m1,m2 and by massless strings as shown in figure, on a frictionless table. They are Pulled with the force T3=40 N. If m1=10 kg,m2=6 kg and m3=4kg the tension T2 will be=...N
Three blocks of masers m1,m2 and by massless strings as shown in figure, on a frictionless table. They are Pulled with the force T3=40 N. If m1=10 kg,m2=6 kg and m3=4kg the tension T2 will be=...N
physicsGeneral
Maths-
If 
where 
is the greatest integer no exeeding 
If where is the greatest integer no exeeding
Maths-General
physics-
The diagram shows stress w/s strain curve for the materials A and B. From the curves we infer that
The diagram shows stress w/s strain curve for the materials A and B. From the curves we infer that
physics-General
physics-
The value of force constant between the applied elastic. force F and displacement will be
The value of force constant between the applied elastic. force F and displacement will be
physics-General
physics-
The potential energy U between two molecules as a function of the distance x between them has been shown in the figure. The two molecules are.
The potential energy U between two molecules as a function of the distance x between them has been shown in the figure. The two molecules are.
physics-General
physics-
The graph shows the behavior of a length of wire in the region for which the substance obeys Hooke's law. P & Q represent.
The graph shows the behavior of a length of wire in the region for which the substance obeys Hooke's law. P & Q represent.
physics-General