1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {{x - 2} \over {x + 2}}$$, x $$\ne$$ $$-$$2, then what is f$$-$$1(x) equal to ?
A
$${{4(x + 2)} \over {x - 2}}$$
B
$${{x + 2} \over {4(x - 2)}}$$
C
$${{x + 2} \over {x - 2}}$$
D
$${{2(1 + x)} \over {1 - x}}$$
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If f(x) = log10 (1 + x), then what is 4f(4) + 5f(1) $$-$$ log10 2 equal to ?
A
0
B
1
C
2
D
4
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If $f(x)=ax-b$ and $g(x)=cx+d$ are such that $f(g(x))=g(f(x))$, then which one of the following holds?

A

$f(d) = g(b)$

B

$f(b)+g(d)=0$

C

$f(a)+g(c)=2a$

D

$f(d)+g(b)=2d$

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Which one of the following is correct in respect of $f(x) = \frac{1}{\sqrt{|x| - x}}$ and $g(x) = \frac{1}{\sqrt{x - |x|}}$?

A

$f(x)$ has some domain and $g(x)$ has no domain

B

$f(x)$ has no domain and $g(x)$ has some domain

C

$f(x)$ and $g(x)$ have the same domain

D

$f(x)$ and $g(x)$ do not have any domain

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