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BITSAT Functions PYQs with Solutions

39 previous year questions from Functions (BITSAT Mathematics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

39 questionsMathematics2009–2024Answers + solutions

About Functions PYQs

Functions has 39 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 39 questions in this list come from BITSAT (39), spanning 2009 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

BITSAT Functions PYQs with Solutions

About Functions PYQs

Questions by year (this list)

Functions questions with solutions

Let [x] denote the greatest integer ≤ x . If f(x)=[x] and g(x)=|x| , then the value of f (g ((8)/(5)) )- g (f (-(8)/(5)))is

Number of real solution of 5- _2|x| =3- _2|x| is equal to

f(x)=( x)/([(2 x)/(π)]+(1)/(2)) , where x is not an integral multiple of π and [.] denotes the greatest integer function, is

The function f: R arrow R defined by f(x)= x 1+x^2 is

If f: R arrow R, g: R arrow R are defined by f(x)=5 x-3, g(x)=x^2+3 , then g o f^ -1 (3) is equal to

The domain of the real valued function f(x)= (2 x^2-7 x+5)/(3 x^2-5 x-2) is

If a function f: R-\ l\ arrow R-\ m\ defined by f(x)=(x+3)/(x-2) is a bijection, then 3 l+2 m=

f(x)= x+ x, g(x)=x^2-1 , then g(f(x)) is invertible if

Let the function g:(-∞, ∞) arrow (-(π)/(2), (π)/(2)) be given by g(u)=2 ^ -1 (e^u\)-(π)/(2) .Then, g is

The domain of the function f(x)= x- 1-x^2 is

Consider the function f in A=R-\ (2)/(3)\ defined as f(x)=(4 x+3)/(6 x-4) , then f^ -1 is equal to

If f(x)= x 1+x^2 , then (fof of) (x) is

If g(x)=x^2+x-2 and (1)/(2) g o f(x)=2 x^2-5 x+2 then f(x) is equal to

The domain of the function f(x)= 1 x^ 12 -x^ 9 +x^ 4 -x+1 is given by

Let [x] denote the greatest integer ≤ x . If f(x)=[x] and g(x)=|x|, then the value of f (g ((8)/(5)))-g(f(-(8)/(5)))is

The domain of the function f(x)= x- 1-x^ 2 is

Number of solution of the equation | cosx | = 2 [ x ] are (where | x | , [ x ] are modulus and greatest integer function respectively).

The inverse of the function f (x) = _ a (x + x^ 2 + 1 ) (where, a < 0, a ≠ 1 ) is

Let f: R → R be a function satisfying f(x + y) = f(x) + 2y^ 2 + kxy for all x, y ∈ ℝ . If f (1) = 2 and f(2) = 8 , then f(x) is equal to

Let A = [-1, 1] and f: A → A be defined as f (x) = x |x| for all x ∈ A , then f(x) is

If a function f: R → R satisfy the equation f ( x + y ) = f ( x ) + f ( y ) , ∀ x, y and the function f ( x ) is continuous at x = 0 , then

Let f(x)=(a x+b)/(c x+d), then fof (x)=x, provided that:

Match List I with List II and select the correct answer using the code given below the lists: \( List I List II (A) f(x)= x 1. The graph cuts y-axis in infinite number of points

The period of 3 θ is

The domain of the function f(x)= ^ -1 (x-3) 9-x^ 2

The domain of the function f(x)= _ 2 (- _ 1 / 2 (1+ 1 x^ 1 / 4 )-1) is

Let f: R arrow R be a function defined by f(x)=(x-m)/(x-n), where m ≠ n, then

If f is an even function and g is an odd function, then the function fog is

If \(f(x)\) is a function that is odd and even simultaneously, then \( f( 3)- f( 2)\) is equal to

If \(f(x)=\ array l x ; when x is rational 1-x ; when x is irrational array .\), then fof \((x)\) is given as

If \(f(x)=(1-x)/(1+x)\) the domain of \(f^ -1 (x)\) is

A black die and a white die are rolled. Find the probability that the number shown by the black die will be more than twice that shown by the white die.

Let \(E=\ 1,2,3,4\ \) and \(F=\ 1,2\ \). Then the number of onto functions from \( E \) to \( F \) is

The range of the function \(f(x)= (x^2-x+1)/(x^2+x+1) \) where \( x ∈ R \), is

If \( ( z _1)= (z_2)\), then

Find the vertex of the parabola \(x²-8 y-x+19=0\).

Given below is a frequency distribution with median 46 . In this distribution, some of the frequencies are missing : Determine the missing frequencies. Marks 10-20 20-30 30-40

If \(y=e^ -x x\) and \(y_4+k y=0\), where \(y_4=(d^4 y)/(d x^4)\), then \(k=\)

The value of \( _ x arrow 0 ((4^x-1)^3)/( (x^2)/(4) (1+3 x))\), is

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