Question

What are the domain and range of f(x)=(1/5)^x

Answer 1

You should graph the function to help find domain and range.

The domain stands for the values that x can have in the equation.  In this equation any real number can be substituted for x so the answer the domain is (-∞, ∞).

Range stands for the values that y can have in the equation.  You can see from the graph that the graph never has a negative y value, so the range is (0, ∞).

Answer 2

According to the graph attached below, the domain of the exponential function $f(x) = \left(\dfrac{1}{5}\right)^x$ will be all real numbers and the range is $(0,\infty)$.

Given :

$f(x) = \left(\dfrac{1}{5}\right)^x$

The given function is an exponential function and the genaralised exponential function is given by:

$f(x)= a^x$

where, $a\; \epsilon \;(0,1) \cup(1,\infty)$.

The domain of the generalised exponential function is all real numbers and the range is $(0,\infty)$.

Therefore, according to the graph attached below the domain and range of the function,  $f(x) = \left(\dfrac{1}{5}\right)^x$ is given by:

Domain = All real numbers.

Range = $(0,\infty)$

For more information, refer the link given below:

https://brainly.com/question/22401383