Relations and Functions
3 solved problems from JEE previous year papers.
Functions
f(x)=2x/√(1+9x²) Composed 10 Times, Find √(3α+1)
Consider f:R→R defined by f(x)=2x/√(1+9x²). If (f∘f∘⋯∘f, 10 times)(x)=2^10x/√(1+9αx²), find the value of √(3α+1).
Relations and Functions
Is f(x)=(2^x−2^−x)/(2^x+2^−x) One-One, Onto, Both or Neither?
The function f:(−∞,∞)→(−∞,1), defined by f(x)=(2^x−2^−x)/(2^x+2^−x), is: neither one-one nor onto, onto but not one-one, both, or…
Functions
Domain of log5(18x−x²−77) Is (α,β), Find α²+β²+γ²
If the domain of log5(18x−x²−77) is (α,β) and the domain of log(x−1)[(2x²+3x−2)/(x²−3x−4)] is (γ,δ), then α²+β²+γ² is: A)195…