1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function
$f(x)=\frac{x}{1-x}(x>0,x\ne 1)$
What is $ (1-x)f(\sqrt{x})+xf(\sqrt{x}+1)$ equal to?
 
1
 - f(x)
2
 f(x)
3
x
4
0
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function $f(x)=1-\sqrt[3]{(x-1)^{2}}$
What is the domain of the function?
1
 (1, ∞)
2
(- ∞, ∞)
3
 (0, ∞)
4
(- ∞, ∞)
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function  $f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$
What is$f\circ f\circ f\circ f\circ f(0)$ equal to?
1
0
2
1
3
5
4
10
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function  $f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$
What is the inverse of the function?
1
$\log _{10}(2x-1)$
2
$\frac{1}{2}\log _{10}(2x-1)$
3
$ \frac{1}{4}\log _{10}(\frac{2x}{2-x})$
4
$\frac{1}{2}\log _{10}(\frac{1+x}{1-x})$