Question

What is the domain and range of `f(x) =sqrt(8.5 − 3 x)`?

Answer 1

Here,
The function f(x) is only defined when 8.5-3x `>=` 0

SO,

-3x `>=` -8.5

Multiplying both sides with - .

or, 3x `<=` 8.5

or, x `<= 8.5/3`

So domain of F(x) is x `<= 8.5/3`

Now since you can only put value x `<= 8.5/3` and when you put the maximum value i.e. `8.5/3` , you get 0 which means the lesser values you add the more you will get.

So the range of F(x) is f(x) `>=` 0.