Question

How do you find the domain of `f(x) = 16x+8`?

Answer 1

`x inRR`

Explanation:

We're dealing with a linear expression here, which is defined for all real numbers. Let's just think for a moment:

We have the function

`f(x)=16x+8`

Is there any value of `x` that will make this function undefined?

What happens when we plug in `3`?

`f(3)=16(3)+8=48+8=color(blue)(56)`

What about `11`?

`f(11)=16(11)+8=176+8=color(blue)(184)`

What about `345`?

`f(345)=16(345)+8=5520+8=color(blue)(5528)`

Obviously, I could have picked much more ridiculous values, but with each of the values we plugged in for `x`, we got a result.

Whatever `x` we plug into our function, it will always be defined, so we can say

`x inRR`

Hope this helps!