Question

Study the following functions

1)f(x) = Inx/x

2) f(x) = e^x-x +3

Answer 1

(1) Graph of $f(x) = \frac{ln(x)}{x}$

Here, domain of $f(x)$ is:

$x>0,x\neq0 \\ \therefore x\in R^+$

Range of $f(x)$ is:

$f(x)\in(-\infty,\frac{1}{e}]$

(2) Graph of $f(x) = e^x-x +3$

Here, domain of $f(x)$ is:

$x\in R$

Range of $f(x)$ is:

$f(x)\in[4,\infty)$

System