Functions: Let f(x)=(1)/(7-sin5x) be a function defined on mathbfR . Then the… | JEE Main 2024

JEE Main 2024 (Online) 6th April Evening ShiftQuestion 1

Let $f(x)=\frac{1}{7-\sin5x}$ be a function defined on $\mathbf{R}$. Then the range of the function $f(x)$ is equal to :

Functions

$\left[\frac{1}{8},\frac{1}{5}\right]$$\left[\frac{1}{7},\frac{1}{5}\right]$$\left[\frac{1}{7},\frac{1}{6}\right]$$\left[\frac{1}{8},\frac{1}{6}\right]$✓ Correct answer

Solution

$\sin5x\in[-1,1]$, so $7-\sin5x\in[6,8]$ and $f\in\left[\frac18,\frac16\right]$.

Functions - JEE Mathematics question (JEE Main 2024 (Online) 6th April Evening Shift)

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