charlestaylorjr124 charlestaylorjr124
  • 24-07-2022
  • Mathematics
contestada

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

Respuesta :

profarouk profarouk
  • 24-07-2022

Answer:

-3

Step-by-step explanation:

[tex]f\left( x\right) =\sqrt{3x} \ \ \text{and} \ \ g\left( x\right) =x+3[/tex]

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

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