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 $f(x)=1-\sqrt[3]{(x-1)^{2}}$
What is the domain of the function?
1
 (1, ∞)
2
(- ∞, ∞)
3
 (0, ∞)
4
(- ∞, ∞)
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  $f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$
What is$f\circ f\circ f\circ f\circ f(0)$ equal to?
1
0
2
1
3
5
4
10
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 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
$\frac{1}{2}\log _{10}(\frac{1+x}{1-x})$
4
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Consider the following for the two (02) items that follow:

Let the function y = (1 - cos x)-1 where$x \ne 2n\pi$ and n is an integer

What is the range of the function?
A
[0,)
B
[0.5,)
C
[1,)
D
(,0.5]