Functions · Mathematics · TS EAMCET
MCQ (Single Correct Answer)
1
$f(x)=a x^{2}+b x+c$ is an even function and
$g(x)=p x^{3}+q x^{2}+r x$ is an odd function.
If $h(x)=f(x)+g(x)$ and $h(-2)=0$, then $8 p+4 q+2 r=$
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2
The range of the real valued function $f(x)=\log _{3}\left(5+4 x-x^{2}\right)$ is
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3
The sum of the maximum and minimum values of the function $f(x)=\frac{x^{2}-x+1}{x^{2}+x+1}$ is
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4
If $f$ is a real valued function from $A$ onto $B$ defined by $f(x)=\frac{1}{\sqrt{|x-|x||}}$, then $A \cap B=$
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5
The domain of the real valued function $f(x)=\sqrt[3]{\frac{x-2}{2 x^2-7 x+5}}+\log \left(x^2-x-2\right)$ is
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6
$f$ is a real valued function satisfying the relation $f\left(3 x+\frac{1}{2 x}\right)=9 x^2+\frac{1}{4 x^2}$. If $f\left(x+\frac{1}{x}\right)=1$, then $x$ is equal to
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7
If $f(x)=\frac{2 x-3}{3 x-2}$ and $f_n(x)=($ fofofo .......n times) $(x)$, then $f_{32}(x)=$
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8
The domain of the real valued function $f(x)=\sqrt{\cos (\sin x)}+\cos ^{-1}\left(\frac{1+x^2}{2 x}\right)$ is
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9
The domain of the function $f(x)=\sin ^{-1}\left(\log _2\left(\frac{x^2}{2}\right)\right)$ is
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10
The range of the function $f(x)=-\sqrt{-x^2-6 x-5}$ is
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11
If $f: R \rightarrow R$ is defined by $f(x)=2 x+\sin x, x \in R$, then $f$ is
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12
If $t$ is a parameter, $A=(a \sec t, b \tan t)$, $B=(-a \tan t, b \sec t)$ and $O=(0,0)$, then the locus of the centroid of $\triangle O A B$ is
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13
If $f:[2, \infty) \rightarrow R$ is defined by $f(x)=x^2-4 x+5$, then the range of $f$ is
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14
If $f(x)=-|x|$, then $($ fofof $)(x)+($ fofof $)(-x)=$
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