JEE Main Mathematics — Functions Previous-Year Questions

Let f:(1,∞) be a function defined as f(x) = (x-1)/(x+1). Let fⁱ⁺¹(x) = f(fⁱ(x)), i=1, 2, …, 25, where f¹(x)=f(x). If g(…

If the domain of the function f(x) = ₍₀.₆₎ ( |(2x-5)/(x²-4) | ) is (-∞, a] \b [c, d) (e, ∞), then the value of a + b +…

If the domain of the function f(x)= ⁻¹ ((5-x)/(3+2 x) )+1 e(10-x) is (-∞, α] [β, γ)-\δ\, then 6(α+β+γ+δ) is equal to

The number of distinct real solutions of the equation x|x+4|+3|x+2|+10=0 is

Consider two sets A=\x Z:|(|x-3|-3)| ≤ 1\ and B= \x R-\1,2 ((x-2)(x-4))/(x-1) e(|x-2|)=0 \. Then the number of onto fun…

Let f: R → R be a function such that f(x) + 3f ((π)/(2) - x ) = x, x R. Let the maximum value of f on R be α. If the ar…

The sum of all the integral values of p such that the equation 3² x + 12 x - 3 = p, x R, has at least one solution, is:

Let the domain of the function f(x)= ₃ ₅ (7- ₂ (x²-10 x+85 ) )+ ⁻¹ ( |(3 x-7)/(17-x) | ) be (α, β]. Then α+β is equal t…

Let [·] denote the greatest integer function. If the domain of the function f(x) = ⁻¹ ((4x+2[x])/(3) ) is [α, β], then…

Given below are two statements: Statement I: The function f: R → R defined by f(x)=(x)/(1+|x|) is one-one. Statement II…