Question

Let f(x) = √3x and g(x) = x + 3. What's the smallest number that is in the domain of
fºg?

Answer 1

-3

Explanation:

`f\left( x\right) =√(3x) \ \ \text{and} \ \ g\left( x\right) =x+3`

it’s clear that :

f is defined if and only if x ≥ 0

Therefore ,

fºg is defined if and only if x + 3 ≥ 0

x + 3 ≥ 0

⇔ x ≥ -3

Then ,the smallest number that is in the domain of fºg is -3