MAH CET MCA Function Previous Year Questions (PYQs)
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Showing 6 questions
$f(x) = \sqrt{\log_{1/4}\left(\dfrac{5x - x^2}{4}\right)}$, find the domain of $f(x)$.
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Solution
For $\log_{1/4}\left(\dfrac{5x - x^2}{4}\right)$ to be $\ge 0$,
$\dfrac{5x - x^2}{4} \le 1$ since base $< 1$.
Simplifying gives $x = 1, 4$.
Hence, domain $= {1,4}$.
If $f(x): [0,3] \to [1,29]$ and $f(x) = 2x^3 - 15x^2 + 36x + 1$, then $f(x)$ is
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Since the cubic function decreases and increases in the given interval, it is neither one-one nor onto.
Let R be the set of real numbers. If $f:R \to R$ is a function defined by $f(x)=x^2$. then $f$ is
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The range of the function $f(x)-\frac{x+2}{|x+2|}, x\ne2$ is
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The domain of the function $log f(x)=\sqrt{log_{10} \frac{log_{10} x}{2(3-log_{10} x)}}$
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MAH CET MCA
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