Let f, g: (1, ∞) → R be defined as f(x) = (2x+3)/(5x+2) and g(x) = (2-3x)/(1-x). If the range of the function f° g: [2,4] → R is [α, β], then 1/(β - α) is equal to:

Sets, Relations and Functions: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q126

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumSets, Relations and Functions168× since 2002

Let f, g: (1, \infty) \to \mathbb{R} be defined as f(x) = \frac{2x+3}{5x+2} and g(x) = \frac{2-3x}{1-x}. If the range of the function f\circ g: [2,4] \to \mathbb{R} is [\alpha, \beta], then \frac{1}{\beta - \alpha} is equal to:

Sets, Relations and Functions: JEE Main 2025 Mathematics question

More on Sets, Relations and Functions

Sets, Relations and Functions: JEE Main 2025 Mathematics question

More on Sets, Relations and Functions