14 - Functions Questions Answers

Maths >> Calculus >> Functions IIT JEE

x+y =[x] +[y] { where [.] denotes the greatest integer function of x},, then find lines on which the non integral solutions to this equation lie.??????????

Asked By: SHALEEN 3 year ago
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Maths >> Calculus >> Functions Board Exam
find f(f(x)) .if f(x)=x^2-3x+2
Asked By: YAWAR SHAH 3 year ago
is this question helpfull: 2 1 submit your answer
Maths >> Calculus >> Functions IIT JEE

Find a formula for a function g(x) satisfying the following conditions

a) domain of g is (-∞ , ∞ )     b) range of g is [-2 , 8]     c)  g has a period π   d)  g(2) = 3

Asked By: VAIBHAV GUPTA 5 year ago
is this question helpfull: 6 0 read solutions ( 1 ) | submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

g(x) = 3-5sin(2x-4)

 

Maths >> Calculus >> Functions IIT JEE

Let f(x) = x135 + x125 - x115 + x5 +1. If f(x) is divided by x3-x then the remainder is some function of x say g(x). Find the value of g(10)

Asked By: VAIBHAV GUPTA 5 year ago
is this question helpfull: 7 6 submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

for getting reminder put x3= x so

x135 + x125 - x115 + x5 +1 will give

 x45 + x41*x2 - x38*x +x*x2 +1

x15 + x13*x2*x2 - x12*x2*x +x*x2 +1

 x17 + x3 +1

x5*x2 + x + 1

x+ x + 1

x2*x + x +1 

x3 + x +1 

x+x+1

2x+1

now put x = 10

Maths >> Calculus >> Functions IIT JEE

Find out for what integral values of n the number 3π is a period of the function :

f(x) = cos nx . sin(5/n)x 

Asked By: VAIBHAV GUPTA 5 year ago
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Maths >> Calculus >> Functions IIT JEE

Suppose that f is a function such that f(cos x) = cos 17x . Which one of the following functions g has the property that g(sin x) = sin 17x . 

(A) g(x) = f(√1-x2)  (B)  g(x) = f(x - π/4)   (C) g(x) = √1-x2  (D) g(x) = f(x)

Asked By: VAIBHAV GUPTA 5 year ago
is this question helpfull: 9 0 submit your answer
Maths >> Calculus >> Functions AIEEE

if ƒ:R−{0} -> R,  2ƒ(x) − 3ƒ(1⁄x) = x²  then ƒ(3)= ?

Asked By: BONEY HAVELIWALA 5 year ago
is this question helpfull: 4 0 submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

2ƒ(x) − 3ƒ(1⁄x) = x²   (1)

so 2ƒ(1/x) − 3ƒ(x) = 1/x²  (2)

multiply (1) to 2 and (2) to 3, then add the two equations, you will get f(x) then calculate f(3)  

Maths >> Calculus >> Functions Others

Sir/Madam,

                    Suddenly a question struck on my mind:   0×∞= 1 or 0?? as 1⁄0=∞.

     

Asked By: BONEY HAVELIWALA 5 year ago
is this question helpfull: 1 2 read solutions ( 2 ) | submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

it will be 0, assume it by considering that ∞ is a big number 

for ex.   0*(1111111111111111111111111) = 0

Maths >> Calculus >> Functions IIT JEE

FIND DOMAIN OF f(x)=log4log3 log2x WHERE 4,3,2 ARE BASES ?

Asked By: SIDDHANT 5 year ago
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

f(x)= log4log3log2

so 0 < log3log2x < 

so 1 < log2x < ∞ 

so 2 < x < 

Maths >> Calculus >> Functions IIT JEE

If f be decreasing continuous function satisfying f(x+y)=f(x)+f(y) for all x,y belongs to R; f'(0)=-1, then

 

   1

   f(x)dx is

0


A. 1                       

B. 1-e

C.2-e

D. none of these

Asked By: MOHIT SAINI 6 year ago
is this question helpfull: 2 0 submit your answer

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