1
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $3 f(x)-2 f(1 / x)=x$, then $f(2)=$
A
1
B
$1 / 2$
C
2
D
$7 / 2$
2
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The domain of the real valued function $f(x)$ $=\log _2 \log _3 \log _5\left(x^2-5 x+11\right)$ is
A
$(2, \infty)$
B
$(-\infty, 3)$
C
$(2,3)$
D
$(-\infty, 2) \cup(3, \infty)$
3
AP EAPCET 2024 - 21th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The range of the real valued function $f(x)=\left(\frac{x^2+2 x-15}{2 x^2+13 x+15}\right)$ is
A
$R-\left\{-5,-\frac{3}{2}\right\}$
B
$R-\left\{-5, \frac{1}{2}\right\}$
C
$R-\left\{\frac{1}{2}, \frac{8}{7}\right\}$
D
$R-\left\{-\frac{3}{2}, \frac{8}{7}\right\}$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
$f: R \rightarrow R$ is defined by $f(x+y)=f(x)+12 y, \forall x, y \in R$. If $f(1)=6$, then $\sum_{r=1}^n f(r)=$
A
$n^2$
B
$5 n^2$
C
$6 n^2$
D
$\frac{3 n(n+1)}{2}$
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