Functions · Mathematics · NDA

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?

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

What is $g[f(x) - 3x]$ equal to?

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....

What is $f(x)$ equal to?

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 ?...

Which one of the following is a possible expression for g(x)?

What is g(15) equal to ?

What is the range of the function?

What is the domain of the function?

What is the greatest value of the function?

At what value of x does the function attain minimum value ?

What is the minimum value of the function ?

What is f(0) equal to ?

What is $f\left(\frac{\pi}{2}\right)$ equal to ?

What is $f\left(\frac{\pi}{4}\right)$ equal to ? 

If f(x) = x2 + 2 and g(x) = 2x - 3, then what is (fog)(1) equal to ?

What is the range of the function f(x) = x + |x| if the domain is the set of real numbers ?  

What is $\displaystyle\sum_{x=1}^5$f(2x − 1) equal to ?

What is $\displaystyle\sum_{x=1}^6$2x f(x) equal to ?

​If f(x) = 4x + 1 and g(x) = kx + 2 such that fog(x) = gof(x), then what is the value of k ?

Consider the following statements in respect of the function f(x) = $\left\{\begin{array}{rc}|x|+1, & 0<|x| \leqslant 3 \\ 1, & x = 0\...

Consider the following statements in respect of the function y = [x], x ∈ (-1, 1) where [.] is the greatest integer function: 1. Its derivative ...

What is the domain of the function $f(x) =\sqrt{1 - (x-1)^2} \ ?$

If $4f(x) - f \left(\frac{1}{x}\right)=\left(2x+\frac{1}{x}\right)\left(2x-\frac{1}{x}\right),$ then what is f(2) equal to?...

If f(x) = 4x + 3, then what is f o f o f(-1) equal to?

Consider the following in respect of the function f(x) = 10x : 1. Its domain is (-∞, ∞) 2. It is a continuous function 3. It is differentiable at x...

In which one of the following intervals is the function $f(x) = \frac{x^3}{3}-\frac{7x^2}{2} + 6x + 5$ decreasing?...