The range of values of the function $f\left( x \right) = \frac{1}{{2 - 3\sin x}}$ is
The range of values of the function $f\left( x \right) = \frac{1}{{2 - 3\sin x}}$ is
- A
$\left[ { - 1,\frac{1}{5}} \right]$
- B
$\left[ { - 1,5} \right]$
- C
$\left( { - \infty , - 1} \right] \cup \left[ {\frac{1}{5},\infty } \right)$
- D
$\left( { - \infty ,\frac{1}{5}} \right] \cup \left[ {1,\infty } \right)$
Similar Questions
The function $f$ satisfies the functional equation $3f(x) + 2f\left( {\frac{{x + 59}}{{x - 1}}} \right) = 10x + 30$ for all real $x \ne 1$. The value of $f(7)$ is
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Let $f : N \rightarrow R$ be a function such that $f(x+y)=2 f(x) f(y)$ for natural numbers $x$ and $y$. If $f(1)=2$, then the value of $\alpha$ for which
$\sum \limits_{k=1}^{10} f(\alpha+k)=\frac{512}{3}\left(2^{20}-1\right)$ holds, is
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$\sum \limits_{k=1}^{10} f(\alpha+k)=\frac{512}{3}\left(2^{20}-1\right)$ holds, is
- [JEE MAIN 2022]
Show that the function $f: R \rightarrow R$ defined as $f(x)=x^{2},$ is neither one-one nor onto.
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Which of the following function is even function
Which of the following function is even function
The range of the function,
$\mathrm{f}(\mathrm{x})=\log _{\sqrt{5}}(3+\cos \left(\frac{3 \pi}{4}+\mathrm{x}\right)+\cos \left(\frac{\pi}{4}+\mathrm{x}\right)+\cos \left(\frac{\pi}{4}-\mathrm{x}\right)$
$-\cos \left(\frac{3 \pi}{4}-\mathrm{x}\right))$ is :
The range of the function,
$\mathrm{f}(\mathrm{x})=\log _{\sqrt{5}}(3+\cos \left(\frac{3 \pi}{4}+\mathrm{x}\right)+\cos \left(\frac{\pi}{4}+\mathrm{x}\right)+\cos \left(\frac{\pi}{4}-\mathrm{x}\right)$
$-\cos \left(\frac{3 \pi}{4}-\mathrm{x}\right))$ is :
- [JEE MAIN 2021]