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

asked Aug 15, 2022 159k views

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Answer:

$(b\circ a)(x)=3x-3$ ; the domain is all real numbers

Explanation:

a(x) = 3x+1

b(x)=x-4

$(b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3$

Therefore, the domain of the composite function is all real numbers.

Rubioli answered Aug 21, 2022

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