1
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
2
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 a function f be defined on ℝ - {0} and $\rm 2 f(x)+f\left(\frac{1}{x}\right)=x+3 $.

What is f(0.5) equal to ?
A
$\frac{1}{2}$
B
$\frac{2}{3}$
C
1
D
2
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 a function f be defined on ℝ - {0} and $\rm 2 f(x)+f\left(\frac{1}{x}\right)=x+3 $.

If f is differentiable, then what is f'(0.5) equal to?
A
$\frac{1}{4}$
B
$\frac{2}{3}$
C
2
D
4
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:

A function is defined by$f(x)=\left|\begin{array}{ccc} x+1 & 2 & 3 \\ 2 & x+4 & 6 \\ 3 & 6 & x+9 \end{array}\right|$ .

The function is decreasing on :
A
$\left[-\frac{28}{3}, 0\right]$
B
$\left[0, \frac{28}{3}\right]$
C
$\left[0, \frac{50}{3}\right]$
D
$\left[0, \frac{56}{3}\right]$
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