1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

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

Let $3f(x) + f\left(\frac{1}{x}\right) = \frac{1}{x} + 1$

What is $f(x)$ equal to?

A

$\frac{1}{8x} - \frac{x}{8} + \frac{1}{4}$

B

$\frac{3}{8x} - \frac{x}{8} + \frac{3}{4}$

C

$\frac{3}{8x} + \frac{x}{8} - \frac{1}{4}$

D

$\frac{3}{8x} - \frac{1}{8} + \frac{1}{4}$

2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
A function satisfies $f(x-y)=\frac{f(x)}{f(y)}$, where f(y) ≠ 0. If f(1) = 0.5, then what is f(2) + f(3) + f(4) + f(5) + f(6) equal to ?
A
$\frac{15}{32}$
B
$\frac{17}{32}$
C
$\frac{29}{64}$
D
$\frac{31}{64}$
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let f(x) = x2 - 1 and gof(x) = x - √x + 1.

Which one of the following is a possible expression for g(x)?
A
$ \sqrt{x+1}-\sqrt[4]{x+1} $
B
$ \sqrt{x+1}-\sqrt[4]{x+1}+1 $
C
$ \sqrt{x+1}+\sqrt[4]{x+1} $
D
$ x+1-\sqrt{x+1}+1$
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Let f(x) = x2 - 1 and gof(x) = x - √x + 1.

What is g(15) equal to ?
A
1
B
2
C
3
D
4
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