1
TG EAPCET 2025 (Online) 2nd May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The inverse of the function $y=\frac{10^x-10^{-x}}{10^x+10^{-x}}+1$ is $x=$

A

$\log \left(\frac{y}{2-y}\right)$

B

$\log _{10}\left(\frac{y}{2-y}\right)$

C

$\frac{1}{10} \log \left(\frac{y}{1-y}\right)$

D

$\frac{1}{2} \log _{10}\left(\frac{y}{2-y}\right)$

2
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $f(x)=\tan \left(\frac{\pi}{\sqrt{x+1}+4}\right)$ is a real valued function, then the range of $f$ is

A

$[-1,1]$

B

$(0,1]$

C

$[-1, \infty)$

D

$R$

3
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\frac{x^3+3}{(x-3)^3}=a+\frac{b}{x-3}+\frac{c}{(x-3)^2}+\frac{d}{(x-3)^3}$, then $(a+d)-(b+c)=$

A

49

B

15

C

-30

D

-5

4
TG EAPCET 2024 (Online) 11th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$f(x)=a x^{2}+b x+c$ 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 $8 p+4 q+2 r=$

A
$4 a+3 b+2 c$
B
$a+b+c$
C
$4 a+2 b+c$
D
$8 a+4 b+2 c$

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