Functions · Mathematics · COMEDK

A function $f$ from the set of natural numbers to integers defined by

$$f(n)=\left\{\begin{array}{l} \frac{n-1}{2}, \quad \text { when } n \text { is odd } \\ -\frac{n}{2}, \quad \text { when } n \text { is even } \end{array} \quad\right. \text { is }$$

The domain of the function $$y=\frac{1}{\log _{10}(3-x)}+\sqrt{x+7}$$ is

$$\text { Which of the following function is injective? }$$

Let $$f: R \rightarrow R$$ be a function defined by $$f=\frac{e^{|x|}-e^{-x}}{e^x+e^{-x}}$$ then

Which of the following is not a homogenous function of $$x$$ and $$y$$

If $$2 f\left(x^2\right)+3 f\left(\frac{1}{x^2}\right)=x^2-1, \forall x \in R-\{0\}$$, then $$f\left(x^8\right)$$ is equal to

The range of $$x$$ which satisfy the inequation : $$-5 \leq \frac{2-3 x}{4} \leq 9$$ is

The approximate value of $$(0.007)^{1/3}$$ is

If $$f(x)+2f(1-x)=x^2+5,\forall$$ real values of $$x$$, then $$f(x)$$ is given by

If $$f(x)$$ satisfies the relation $$2f(x) + f(1 - x) = {x^2}$$ for all real x, then $$f(x)$$ is

If $$f:R \to R$$ is defined by $$f(x) = |x|$$, then