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.

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

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

What is f(0.5) equal to ?
A
$\frac{1}{2}$
B
$\frac{2}{3}$
C
1
D
2
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 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
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