caylakampos caylakampos
  • 02-10-2019
  • Mathematics
contestada

If a(x) = 3x + 1 and b(x) =
x-4, what is the domain of (bºa)(x)?

Respuesta :

mberisso
mberisso mberisso
  • 02-10-2019

Answer:

All real numbers

Step-by-step explanation:

Given the two functions

a(x) = 3x + 1   and   b(x) = x - 4

The composition (boa)(x) is the same as:

b(a(x))= (a(x)) - 4 = (3x + 1) - 4 = 3x + 1 - 4 = 3x - 3

This is still a linear function and therefore its domain is all real numbers (we can find a y value given any real number x)

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