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Functions question

2025 · 4 Apr · Shift 1 · Q41

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PYQ Library
JEE Main
Mathematics
Functions
2025 · 4 Apr · Shift 1 · Q41

Functions question

2025 · 4 Apr · Shift 1 · Q41

JEE MainMathematicsFunctionsMCQ+4 / −1

Let

f, g:(1, \infty) \rightarrow \mathbb{R}

be defined as

f(x)=\frac{2 x+3}{5 x+2}

and

g(x)=\frac{2-3 x}{1-x}

. If the range of the function fog:

[2,4] \rightarrow \mathbb{R}

is

[\alpha, \beta]

, then

\frac{1}{\beta-\alpha}

is equal to

A
56
B
2
C
29
D
68

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