Question

Find domain and range of the function y = 3{1/5}^x

Answer 1

Given -

`y\text{ = 3\textbraceleft}(1)/(5)\rbrace^x`

To Find -

Domain and Range of the function

Step-by-Step Explanation -

The Domain includes all the real numbers except there the function is not defined.

In this case, there is no real number that makes the expression undefined.

So,

Domain = (-∞,∞)

Now,

Range = All possible values of y.

Here it is the exponential function,

So,

Range = (0,∞)

Final Answer -

Domain = (-∞,∞)

Range = (0,∞)