# Functions · Mathematics · NDA

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NDA Mathematics 21 April 2024
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?
NDA Mathematics 21 April 2024
Which one of the following is correct in respect of $f(x) = \frac{1}{\sqrt{|x| - x}}$ and $g(x) = \frac{1}{\sqrt{x - |x|}}$?
NDA Mathematics 21 April 2024
What is $g[f(x) - 3x]$ equal to?
NDA Mathematics 21 April 2024
Consider the following statements:1. $f(x)$ is differentiable for all $x 2.$g(x)$is continuous at$x = 0.0001$3. The derivative of$g(x)$at$x = 2....
NDA Mathematics 21 April 2024
What is $f(x)$ equal to?
NDA Mathematics 3 September 2023
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 ?...
NDA Mathematics 3 September 2023
Which one of the following is a possible expression for g(x)?
NDA Mathematics 3 September 2023
What is g(15) equal to ?
NDA Mathematics 3 September 2023
What is the range of the function?
NDA Mathematics 3 September 2023
What is the domain of the function?
NDA Mathematics 3 September 2023
What is the greatest value of the function?
NDA Mathematics 16 April 2023
At what value of x does the function attain minimum value ?
NDA Mathematics 16 April 2023
What is the minimum value of the function ?
NDA Mathematics 16 April 2023
What is f(0) equal to ?
NDA Mathematics 16 April 2023
What is $f\left(\frac{\pi}{2}\right)$ equal to ?
NDA Mathematics 16 April 2023
What is $f\left(\frac{\pi}{4}\right)$ equal to ?
NDA Mathematics 16 April 2023
If f(x) = x2 + 2 and g(x) = 2x - 3, then what is (fog)(1) equal to ?
NDA Mathematics 16 April 2023
What is the range of the function f(x) = x + |x| if the domain is the set of real numbers ?
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